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56317152 = 2535961163
BaseRepresentation
bin1101011011010…
…1010011100000
310220222012121110
43112311103200
5103404122102
65331023320
71252454643
oct326652340
9126865543
1056317152
1129875a01
1216a3ab40
13b88a878
14769da5a
154e2686c
hex35b54e0

56317152 has 96 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 18040320.

The previous prime is 56317127. The next prime is 56317169. The reversal of 56317152 is 25171365.

56317152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×563171522 = 6343243218782208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345423 + ... + 345585.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 256317152 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 56317152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

56317152 is an abundant number, since it is smaller than the sum of its proper divisors (97423008).

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

56317152 is a wasteful number, since it uses less digits than its factorization.

56317152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 56317152 is about 7504.4754646811. The cubic root of 56317152 is about 383.3071272990.

The spelling of 56317152 in words is "fifty-six million, three hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 96 118 122 163 177 183 236 244 326 354 366 472 488 489 652 708 732 944 976 978 1304 1416 1464 1888 1952 1956 2608 2832 2928 3599 3912 5216 5664 5856 7198 7824 9617 9943 10797 14396 15648 19234 19886 21594 28792 28851 29829 38468 39772 43188 57584 57702 59658 76936 79544 86376 115168 115404 119316 153872 159088 172752 230808 238632 307744 318176 345504 461616 477264 586637 923232 954528 1173274 1759911 2346548 3519822 4693096 7039644 9386192 14079288 18772384 28158576 56317152