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57206656 = 2713311109
BaseRepresentation
bin1101101000111…
…0011110000000
310222122101210001
43122032132000
5104121103111
65402045344
71263151153
oct332163600
9128571701
1057206656
112a323231
12171a9854
13bb0c6c0
147851c9a
1550501c1
hex368e780

57206656 has 64 divisors (see below), whose sum is σ = 126806400. Its totient is φ = 25528320.

The previous prime is 57206651. The next prime is 57206657. The reversal of 57206656 is 65660275.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57206651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51030 + ... + 52138.

It is an arithmetic number, because the mean of its divisors is an integer number (1981350).

Almost surely, 257206656 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 57206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63403200).

57206656 is an abundant number, since it is smaller than the sum of its proper divisors (69599744).

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

57206656 is a wasteful number, since it uses less digits than its factorization.

57206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 57206656 is about 7563.5081807320. The cubic root of 57206656 is about 385.3146491687.

The spelling of 57206656 in words is "fifty-seven million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1109 1612 1664 1984 2218 3224 3968 4436 6448 8872 12896 14417 17744 25792 28834 34379 35488 51584 57668 68758 70976 115336 137516 141952 230672 275032 446927 461344 550064 893854 922688 1100128 1787708 1845376 2200256 3575416 4400512 7150832 14301664 28603328 57206656