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56315736 = 233559491
BaseRepresentation
bin1101011011010…
…0111101011000
310220222010200000
43112310331120
5103404100421
65331013000
71252450551
oct326647530
9126863600
1056315736
1129874934
1216a3a160
13b88a029
14769d328
154e26226
hex35b4f58

56315736 has 96 divisors (see below), whose sum is σ = 161179200. Its totient is φ = 18416160.

The previous prime is 56315731. The next prime is 56315741. The reversal of 56315736 is 63751365.

It is a happy number.

56315736 is a `hidden beast` number, since 56 + 31 + 573 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56315731) and next prime (56315741).

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 56315736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56315731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114451 + ... + 114941.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 256315736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56315736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

56315736 is an abundant number, since it is smaller than the sum of its proper divisors (104863464).

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

56315736 is a wasteful number, since it uses less digits than its factorization.

56315736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 56315736 is about 7504.3811203856. The cubic root of 56315736 is about 383.3039147346.

The spelling of 56315736 in words is "fifty-six million, three hundred fifteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 491 531 648 708 972 982 1062 1416 1473 1593 1944 1964 2124 2946 3186 3928 4248 4419 4779 5892 6372 8838 9558 11784 12744 13257 14337 17676 19116 26514 28674 28969 35352 38232 39771 53028 57348 57938 79542 86907 106056 114696 115876 119313 159084 173814 231752 238626 260721 318168 347628 477252 521442 695256 782163 954504 1042884 1564326 2085768 2346489 3128652 4692978 6257304 7039467 9385956 14078934 18771912 28157868 56315736