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57531712 = 267532423
BaseRepresentation
bin1101101101110…
…1110101000000
311000020220200011
43123131311000
5104212003322
65413034304
71266003640
oct333356500
9130226604
1057531712
112a525477
1217325994
13bbc4644
1478d8520
1550b6677
hex36ddd40

57531712 has 56 divisors (see below), whose sum is σ = 132990336. Its totient is φ = 24181248.

The previous prime is 57531709. The next prime is 57531739. The reversal of 57531712 is 21713575.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22533 + ... + 24955.

Almost surely, 257531712 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 57531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495168).

57531712 is an abundant number, since it is smaller than the sum of its proper divisors (75458624).

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

57531712 is a wasteful number, since it uses less digits than its factorization.

57531712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2485 counting only the distinct ones).

The product of its digits is 7350, while the sum is 31.

The square root of 57531712 is about 7584.9661831810. The cubic root of 57531712 is about 386.0430746493.

The spelling of 57531712 in words is "fifty-seven million, five hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2423 2968 3392 4846 5936 9692 11872 16961 19384 23744 33922 38768 67844 77536 128419 135688 155072 256838 271376 513676 542752 898933 1027352 1085504 1797866 2054704 3595732 4109408 7191464 8218816 14382928 28765856 57531712