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56560504 = 237211131009
BaseRepresentation
bin1101011111000…
…0101101111000
310221102120102111
43113300231320
5103434414004
65340142104
71254520300
oct327605570
9127376374
1056560504
1129a21820
1216b37934
13b944570
147724600
154e73a04
hex35f0b78

56560504 has 96 divisors (see below), whose sum is σ = 145076400. Its totient is φ = 20321280.

The previous prime is 56560501. The next prime is 56560507. The reversal of 56560504 is 40506565.

It is an interprime number because it is at equal distance from previous prime (56560501) and next prime (56560507).

It is a super-2 number, since 2×565605042 = 6398181225468032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56560501) 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, 55552 + ... + 56560.

Almost surely, 256560504 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 56560504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72538200).

56560504 is an abundant number, since it is smaller than the sum of its proper divisors (88515896).

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

56560504 is a wasteful number, since it uses less digits than its factorization.

56560504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 56560504 is about 7520.6717785049. The cubic root of 56560504 is about 383.8584366784.

The spelling of 56560504 in words is "fifty-six million, five hundred sixty thousand, five hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1009 1078 1144 1274 2002 2018 2156 2548 4004 4036 4312 5096 7007 7063 8008 8072 11099 13117 14014 14126 22198 26234 28028 28252 44396 49441 52468 56056 56504 77693 88792 91819 98882 104936 144287 155386 183638 197764 288574 310772 367276 395528 543851 577148 621544 642733 734552 1010009 1087702 1154296 1285466 2020018 2175404 2570932 4040036 4350808 5141864 7070063 8080072 14140126 28280252 56560504