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57288056 = 2372592477
BaseRepresentation
bin1101101010001…
…0010101111000
310222210112102212
43122202111320
5104131204211
65403514252
71263640400
oct332422570
9128715385
1057288056
112a379401
1217228988
13bb3a777
147873800
15506938b
hex36a2578

57288056 has 48 divisors (see below), whose sum is σ = 127121400. Its totient is φ = 24126144.

The previous prime is 57288047. The next prime is 57288067. The reversal of 57288056 is 65088275.

57288056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 21890 + ... + 24366.

Almost surely, 257288056 is an apocalyptic number.

57288056 is a gapful number since it is divisible by the number (56) 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 57288056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560700).

57288056 is an abundant number, since it is smaller than the sum of its proper divisors (69833344).

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

57288056 is a wasteful number, since it uses less digits than its factorization.

57288056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 57288056 is about 7568.8873686956. The cubic root of 57288056 is about 385.4973187509.

The spelling of 57288056 in words is "fifty-seven million, two hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1652 2477 2891 3304 4954 5782 9908 11564 17339 19816 23128 34678 69356 121373 138712 146143 242746 292286 485492 584572 970984 1023001 1169144 2046002 4092004 7161007 8184008 14322014 28644028 57288056