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56369504 = 25192329139
BaseRepresentation
bin1101011100001…
…0000101100000
310221001212102102
43113002011200
5103412311004
65332105532
71253063402
oct327020540
9127055372
1056369504
1129901274
1216a652a8
13b8a8649
1476b4b72
154e3711e
hex35c2160

56369504 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 24482304.

The previous prime is 56369503. The next prime is 56369519. The reversal of 56369504 is 40596365.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56369503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405467 + ... + 405605.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 256369504 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 56369504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

56369504 is an abundant number, since it is smaller than the sum of its proper divisors (70638496).

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

56369504 is a wasteful number, since it uses less digits than its factorization.

56369504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 56369504 is about 7507.9627063538. The cubic root of 56369504 is about 383.4258636533.

The spelling of 56369504 in words is "fifty-six million, three hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 19 23 29 32 38 46 58 76 92 116 139 152 184 232 278 304 368 437 464 551 556 608 667 736 874 928 1102 1112 1334 1748 2204 2224 2641 2668 3197 3496 4031 4408 4448 5282 5336 6394 6992 8062 8816 10564 10672 12673 12788 13984 16124 17632 21128 21344 25346 25576 32248 42256 50692 51152 60743 64496 76589 84512 92713 101384 102304 121486 128992 153178 185426 202768 242972 306356 370852 405536 485944 612712 741704 971888 1225424 1483408 1761547 1943776 2450848 2966816 3523094 7046188 14092376 28184752 56369504