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56825604 = 223311311543
BaseRepresentation
bin1101100011000…
…1011100000100
310221221001002000
43120301130010
5104021404404
65345545300
71260003213
oct330613404
9127831060
1056825604
112a092a10
1217045230
13ba08124
14779307a
154ec7339
hex3631704

56825604 has 96 divisors (see below), whose sum is σ = 166010880. Its totient is φ = 16653600.

The previous prime is 56825603. The next prime is 56825623. The reversal of 56825604 is 40652865.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56825603) 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 31 ways as a sum of consecutive naturals, for example, 36057 + ... + 37599.

It is an arithmetic number, because the mean of its divisors is an integer number (1729280).

Almost surely, 256825604 is an apocalyptic number.

56825604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56825604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83005440).

56825604 is an abundant number, since it is smaller than the sum of its proper divisors (109185276).

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

56825604 is a wasteful number, since it uses less digits than its factorization.

56825604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56825604 is about 7538.2759302111. The cubic root of 56825604 is about 384.4572190567.

The spelling of 56825604 in words is "fifty-six million, eight hundred twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1543 1674 2046 3069 3086 3348 4092 4629 6138 6172 9207 9258 12276 13887 16973 18414 18516 27774 33946 36828 41661 47833 50919 55548 67892 83322 95666 101838 143499 152757 166644 191332 203676 286998 305514 430497 458271 526163 573996 611028 860994 916542 1052326 1291491 1578489 1721988 1833084 2104652 2582982 3156978 4735467 5165964 6313956 9470934 14206401 18941868 28412802 56825604