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56031696 = 2433722647
BaseRepresentation
bin1101010110111…
…1100111010000
310220102201001000
43111233213100
5103321003241
65320542000
71250155500
oct325574720
9126381030
1056031696
11296a0496
1216921900
13b7ba966
147627a00
154dbbeb6
hex356f9d0

56031696 has 120 divisors (see below), whose sum is σ = 187160640. Its totient is φ = 16003008.

The previous prime is 56031667. The next prime is 56031737. The reversal of 56031696 is 69613065.

56031696 is a `hidden beast` number, since 560 + 3 + 1 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56031696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19845 + ... + 22491.

It is an arithmetic number, because the mean of its divisors is an integer number (1559672).

Almost surely, 256031696 is an apocalyptic number.

56031696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56031696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93580320).

56031696 is an abundant number, since it is smaller than the sum of its proper divisors (131128944).

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

56031696 is a wasteful number, since it uses less digits than its factorization.

56031696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56031696 is about 7485.4322520480. The cubic root of 56031696 is about 382.6584042105.

The spelling of 56031696 in words is "fifty-six million, thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 2647 3024 3528 5292 5294 7056 7941 10584 10588 15882 18529 21168 21176 23823 31764 37058 42352 47646 55587 63528 71469 74116 95292 111174 127056 129703 142938 148232 166761 190584 222348 259406 285876 296464 333522 381168 389109 444696 500283 518812 571752 667044 778218 889392 1000566 1037624 1143504 1167327 1334088 1556436 2001132 2075248 2334654 2668176 3112872 3501981 4002264 4669308 6225744 7003962 8004528 9338616 14007924 18677232 28015848 56031696