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57046944 = 2532931661
BaseRepresentation
bin1101100110011…
…1011110100000
310222100021200210
43121213132200
5104101000234
65354414120
71261614423
oct331473640
9128307623
1057046944
112a224239
1217131340
13ba84ab6
14780d9ba
15501cbe9
hex36677a0

57046944 has 96 divisors (see below), whose sum is σ = 160151040. Its totient is φ = 17740800.

The previous prime is 57046919. The next prime is 57046967. The reversal of 57046944 is 44964075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85974 + ... + 86634.

It is an arithmetic number, because the mean of its divisors is an integer number (1668240).

Almost surely, 257046944 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 57046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80075520).

57046944 is an abundant number, since it is smaller than the sum of its proper divisors (103104096).

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

57046944 is a wasteful number, since it uses less digits than its factorization.

57046944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 57046944 is about 7552.9427377678. The cubic root of 57046944 is about 384.9557356205.

The spelling of 57046944 in words is "fifty-seven million, forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 661 696 744 899 928 992 1322 1392 1488 1798 1983 2644 2697 2784 2976 3596 3966 5288 5394 7192 7932 10576 10788 14384 15864 19169 20491 21152 21576 28768 31728 38338 40982 43152 57507 61473 63456 76676 81964 86304 115014 122946 153352 163928 230028 245892 306704 327856 460056 491784 594239 613408 655712 920112 983568 1188478 1782717 1840224 1967136 2376956 3565434 4753912 7130868 9507824 14261736 19015648 28523472 57046944