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56315392 = 29719827
BaseRepresentation
bin1101011011010…
…0111000000000
310220222010012021
43112310320000
5103404043032
65331011224
71252446550
oct326647000
9126863167
1056315392
1129874651
1216a39b14
13b889b23
14769d160
154e26097
hex35b4e00

56315392 has 80 divisors (see below), whose sum is σ = 135527040. Its totient is φ = 22837248.

The previous prime is 56315381. The next prime is 56315393. The reversal of 56315392 is 29351365.

It is a happy number.

It is a super-2 number, since 2×563153922 = 6342846752227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56315393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67683 + ... + 68509.

It is an arithmetic number, because the mean of its divisors is an integer number (1694088).

Almost surely, 256315392 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 56315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67763520).

56315392 is an abundant number, since it is smaller than the sum of its proper divisors (79211648).

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

56315392 is an equidigital number, since it uses as much as digits as its factorization.

56315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 855 counting only the distinct ones).

The product of its digits is 24300, while the sum is 34.

The square root of 56315392 is about 7504.3582004059. The cubic root of 56315392 is about 383.3031342729.

The spelling of 56315392 in words is "fifty-six million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 827 896 1064 1216 1654 1792 2128 2432 3308 3584 4256 4864 5789 6616 8512 9728 11578 13232 15713 17024 23156 26464 31426 34048 46312 52928 62852 68096 92624 105856 109991 125704 185248 211712 219982 251408 370496 423424 439964 502816 740992 879928 1005632 1481984 1759856 2011264 2963968 3519712 4022528 7039424 8045056 14078848 28157696 56315392