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56873344 = 2711311303
BaseRepresentation
bin1101100011110…
…1000110000000
310222000110120011
43120331012000
5104024421334
65350554304
71260262333
oct330750600
9128013504
1056873344
112a115870
1217068994
13ba23a88
1477a661a
154ed6564
hex363d180

56873344 has 64 divisors (see below), whose sum is σ = 127687680. Its totient is φ = 24998400.

The previous prime is 56873317. The next prime is 56873357. The reversal of 56873344 is 44337865.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 56873297 and 56873306.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42997 + ... + 44299.

It is an arithmetic number, because the mean of its divisors is an integer number (1995120).

Almost surely, 256873344 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 56873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63843840).

56873344 is an abundant number, since it is smaller than the sum of its proper divisors (70814336).

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

56873344 is a wasteful number, since it uses less digits than its factorization.

56873344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 56873344 is about 7541.4417719691. The cubic root of 56873344 is about 384.5648515846.

The spelling of 56873344 in words is "fifty-six million, eight hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1303 1364 1408 1984 2606 2728 3968 5212 5456 10424 10912 14333 20848 21824 28666 40393 41696 43648 57332 80786 83392 114664 161572 166784 229328 323144 444323 458656 646288 888646 917312 1292576 1777292 1834624 2585152 3554584 5170304 7109168 14218336 28436672 56873344