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57043792 = 2413416689
BaseRepresentation
bin1101100110011…
…0101101010000
310222100010101001
43121212231100
5104100400132
65354351344
71261602301
oct331465520
9128303331
1057043792
112a221933
121712b554
13ba83530
14780c7a8
15501bce7
hex3666b50

57043792 has 40 divisors (see below), whose sum is σ = 121945320. Its totient is φ = 25681920.

The previous prime is 57043787. The next prime is 57043807. The reversal of 57043792 is 29734075.

57043792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 56490256 = 744^2 + 7516^2 .

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 7 ways as a sum of consecutive naturals, for example, 5184 + ... + 11872.

It is an arithmetic number, because the mean of its divisors is an integer number (3048633).

Almost surely, 257043792 is an apocalyptic number.

57043792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57043792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60972660).

57043792 is an abundant number, since it is smaller than the sum of its proper divisors (64901528).

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

57043792 is a wasteful number, since it uses less digits than its factorization.

57043792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 57043792 is about 7552.7340744925. The cubic root of 57043792 is about 384.9486455368.

The spelling of 57043792 in words is "fifty-seven million, forty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 6689 8528 13378 26756 53512 86957 107024 173914 274249 347828 548498 695656 1096996 1391312 2193992 3565237 4387984 7130474 14260948 28521896 57043792