576 (число)

Эта статья — о числе 576. О годе см. 576 год; о годе до н. э. см. 576 год до н. э..
576
пятьсот семьдесят шесть
← 574 · 575 · 576 · 577 · 578 →
Разложение на множители 26· 32
Римская запись DLXXVI
Двоичное 1001000000
Восьмеричное 1100
Шестнадцатеричное 240
Логотип Викисклада Медиафайлы на Викискладе

576 (пятьсот семьдесят шесть) — натуральное число, расположенное между числами 575 и 577. Оно не является простым числом, а относительно последовательности простых чисел расположено между 571 и 577[1].

В математике

  • 576 является чётным трёхзначным числом.
  • Сумма цифр числа 576 — 18.
  • Произведение цифр этого числа — 210.
  • Квадрат этого числа — 331 776.
  • 576 является квадратным, 40-угольным и 193-угольным числом[2].
  • 576 — неприкосновенное число[3]
  • 576 — число Смита[4]
  • 576 является числом харшад[5] (делится нацело на сумму своих цифр).
  • 576 является суммой 4 последовательных простых чисел (576 = 137 + 139 + 149 + 151).
  • Цифры этого числа являются тремя последовательными цифрами, но расположены не в порядке следования. У числа 576 • 6 = 3456 цифры расположены в порядке следования.
  • а . 576 — наименьшее число, являющееся квадратом другого натурального числа и сохраняющее это свойство при увеличении старшей цифры на единицу[6].
  • 576 — число латинских квадратов размера 4×4[6].

В других областях

Примечания

  1. ↑ Свойства числа 576 Архивная копия от 22 сентября 2020 на Wayback Machine ru.numberempire.com
  2. ↑ The Number 576 Архивная копия от 4 февраля 2013 на Wayback Machine.
  3. ↑ последовательность A005114 в OEIS.
  4. ↑ последовательность A006753 в OEIS.
  5. ↑ последовательность A005349 в OEIS.
  6. ↑ 1 2 Tanya Khovanova. Number Gossip: 576 (англ.). www.numbergossip.com. Дата обращения: 31 января 2018. Архивировано из оригинала 1 февраля 2018 года.

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