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56590326 = 23513353
BaseRepresentation
bin1101011111011…
…1111111110110
310221111002100000
43113313333312
5103441342301
65340532130
71255003242
oct327677766
9127432300
1056590326
1129a42171
1216b51046
13b955000
147731422
154e7c786
hex35f7ff6

56590326 has 96 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 17083872.

The previous prime is 56590271. The next prime is 56590343. The reversal of 56590326 is 62309565.

56590326 is a `hidden beast` number, since 565 + 90 + 3 + 2 + 6 = 666.

It is a nialpdrome in base 13.

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, 1067716 + ... + 1067768.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 256590326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56590326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

56590326 is an abundant number, since it is smaller than the sum of its proper divisors (83753514).

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

56590326 is an equidigital number, since it uses as much as digits as its factorization.

56590326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56590326 is about 7522.6541858575. The cubic root of 56590326 is about 383.9258890180.

The spelling of 56590326 in words is "fifty-six million, five hundred ninety thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 169 234 243 318 338 351 477 486 507 689 702 954 1014 1053 1378 1431 1521 2067 2106 2197 2862 3042 3159 4134 4293 4394 4563 6201 6318 6591 8586 8957 9126 12402 12879 13182 13689 17914 18603 19773 25758 26871 27378 37206 39546 41067 53742 55809 59319 80613 82134 111618 116441 118638 161226 167427 177957 232882 241839 334854 349323 355914 483678 533871 698646 725517 1047969 1067742 1451034 2095938 2176551 3143907 4353102 6287814 9431721 18863442 28295163 56590326