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57345536 = 29313613
BaseRepresentation
bin1101101011000…
…0011000000000
310222220110021202
43122300120000
5104140024121
65405040332
71264300103
oct332603000
9128813252
1057345536
112a408606
12172560a8
13bb5a991
14788a73a
15507b40b
hex36b0600

57345536 has 40 divisors (see below), whose sum is σ = 118307904. Its totient is φ = 27740160.

The previous prime is 57345503. The next prime is 57345569. The reversal of 57345536 is 63554375.

It is an interprime number because it is at equal distance from previous prime (57345503) and next prime (57345569).

It is a self number, because there is not a number n which added to its sum of digits gives 57345536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14066 + ... + 17678.

Almost surely, 257345536 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 57345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59153952).

57345536 is an abundant number, since it is smaller than the sum of its proper divisors (60962368).

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

57345536 is an equidigital number, since it uses as much as digits as its factorization.

57345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3646 counting only the distinct ones).

The product of its digits is 189000, while the sum is 38.

The square root of 57345536 is about 7572.6835401989. The cubic root of 57345536 is about 385.6262052977.

The spelling of 57345536 in words is "fifty-seven million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3613 3968 7226 7936 14452 15872 28904 57808 112003 115616 224006 231232 448012 462464 896024 924928 1792048 1849856 3584096 7168192 14336384 28672768 57345536