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57523712 = 29283397
BaseRepresentation
bin1101101101101…
…1111000000000
311000020111200212
43123123320000
5104211224322
65412533252
71265641421
oct333337000
9130214625
1057523712
112a51a464
1217321228
13bbc0acc
1478d5648
1550b40e2
hex36dbe00

57523712 has 40 divisors (see below), whose sum is σ = 115631736. Its totient is φ = 28588032.

The previous prime is 57523681. The next prime is 57523727. The reversal of 57523712 is 21732575.

57523712 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 (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 144698 + ... + 145094.

Almost surely, 257523712 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 57523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57815868).

57523712 is an abundant number, since it is smaller than the sum of its proper divisors (58108024).

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

57523712 is an equidigital number, since it uses as much as digits as its factorization.

57523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its digits is 14700, while the sum is 32.

The square root of 57523712 is about 7584.4388058709. The cubic root of 57523712 is about 386.0251802414.

The spelling of 57523712 in words is "fifty-seven million, five hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 283 397 512 566 794 1132 1588 2264 3176 4528 6352 9056 12704 18112 25408 36224 50816 72448 101632 112351 144896 203264 224702 449404 898808 1797616 3595232 7190464 14380928 28761856 57523712