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56864048 = 2417415099
BaseRepresentation
bin1101100011101…
…0110100110000
310221222222210212
43120322310300
5104024122143
65350443252
71260223253
oct330726460
9127888725
1056864048
112a10988a
1217063528
13ba1c787
1477a309a
154ed3918
hex363ad30

56864048 has 40 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 26101760.

The previous prime is 56864029. The next prime is 56864057. The reversal of 56864048 is 84046865.

56864048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 56863996 and 56864014.

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 7 ways as a sum of consecutive naturals, for example, 8603 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 256864048 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 56864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

56864048 is an abundant number, since it is smaller than the sum of its proper divisors (62659552).

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

56864048 is a wasteful number, since it uses less digits than its factorization.

56864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 56864048 is about 7540.8254190108. The cubic root of 56864048 is about 384.5438979509.

The spelling of 56864048 in words is "fifty-six million, eight hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5099 5576 10198 11152 20396 40792 81584 86683 173366 209059 346732 418118 693464 836236 1386928 1672472 3344944 3554003 7108006 14216012 28432024 56864048