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57222656 = 29731531
BaseRepresentation
bin1101101001001…
…0011000000000
310222200012201122
43122102120000
5104122111111
65402251412
71263245621
oct332223000
9128605648
1057222656
112a334257
12171b6b68
13bb16a7a
147857a48
155054cdb
hex3692600

57222656 has 40 divisors (see below), whose sum is σ = 115975464. Its totient is φ = 28200960.

The previous prime is 57222653. The next prime is 57222667. The reversal of 57222656 is 65622275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57222653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36611 + ... + 38141.

Almost surely, 257222656 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 57222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57987732).

57222656 is an abundant number, since it is smaller than the sum of its proper divisors (58752808).

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

57222656 is an equidigital number, since it uses as much as digits as its factorization.

57222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1606 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 57222656 is about 7564.5658170182. The cubic root of 57222656 is about 385.3505684140.

The spelling of 57222656 in words is "fifty-seven million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 1531 2336 3062 4672 6124 9344 12248 18688 24496 37376 48992 97984 111763 195968 223526 391936 447052 783872 894104 1788208 3576416 7152832 14305664 28611328 57222656