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56900608 = 210181307
BaseRepresentation
bin1101100100001…
…1110000000000
310222001211221221
43121003300000
5104031304413
65351324424
71260434662
oct331036000
9128054857
1056900608
112a1342a6
1217080714
13ba332cb
1477b2532
154ede68d
hex3643c00

56900608 has 44 divisors (see below), whose sum is σ = 114746632. Its totient is φ = 28200960.

The previous prime is 56900563. The next prime is 56900609. The reversal of 56900608 is 80600965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56900609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185191 + ... + 185497.

It is an arithmetic number, because the mean of its divisors is an integer number (2607878).

Almost surely, 256900608 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 56900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57373316).

56900608 is an abundant number, since it is smaller than the sum of its proper divisors (57846024).

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

56900608 is a wasteful number, since it uses less digits than its factorization.

56900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 56900608 is about 7543.2491673018. The cubic root of 56900608 is about 384.6262927942.

The spelling of 56900608 in words is "fifty-six million, nine hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 181 256 307 362 512 614 724 1024 1228 1448 2456 2896 4912 5792 9824 11584 19648 23168 39296 46336 55567 78592 92672 111134 157184 185344 222268 314368 444536 889072 1778144 3556288 7112576 14225152 28450304 56900608