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56679462 = 23271747563
BaseRepresentation
bin1101100000110…
…1110000100110
310221122121121100
43120031300212
5104002220322
65342500530
71255524150
oct330156046
9127577540
1056679462
1129aa3134
1216b94746
13b986758
147755ad0
154e98dac
hex360dc26

56679462 has 96 divisors (see below), whose sum is σ = 152036352. Its totient is φ = 14890752.

The previous prime is 56679457. The next prime is 56679473. The reversal of 56679462 is 26497665.

It is a super-2 number, since 2×566794622 = 6425122825218888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100393 + ... + 100955.

It is an arithmetic number, because the mean of its divisors is an integer number (1583712).

Almost surely, 256679462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56679462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76018176).

56679462 is an abundant number, since it is smaller than the sum of its proper divisors (95356890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56679462 is a wasteful number, since it uses less digits than its factorization.

56679462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 56679462 is about 7528.5763594454. The cubic root of 56679462 is about 384.1273584714.

It can be divided in two parts, 5667 and 9462, that added together give a square (15129 = 1232).

The spelling of 56679462 in words is "fifty-six million, six hundred seventy-nine thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 47 51 63 94 102 119 126 141 153 238 282 306 329 357 423 563 658 714 799 846 987 1071 1126 1598 1689 1974 2142 2397 2961 3378 3941 4794 5067 5593 5922 7191 7882 9571 10134 11186 11823 14382 16779 19142 23646 26461 28713 33558 35469 50337 52922 57426 66997 70938 79383 86139 100674 133994 158766 172278 185227 200991 238149 370454 401982 449837 476298 555681 602973 899674 1111362 1205946 1349511 1667043 2699022 3148859 3334086 4048533 6297718 8097066 9446577 18893154 28339731 56679462