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57445056 = 26321929181
BaseRepresentation
bin1101101100100…
…0101011000000
311000002111210200
43123020223000
5104201220211
65411125200
71265163204
oct333105300
9130074720
1057445056
112a476359
12172a3800
13bb94076
1478b4b04
15509ab56
hex36c8ac0

57445056 has 168 divisors, whose sum is σ = 180289200. Its totient is φ = 17418240.

The previous prime is 57445039. The next prime is 57445067. The reversal of 57445056 is 65054475.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57445056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317286 + ... + 317466.

It is an arithmetic number, because the mean of its divisors is an integer number (1073150).

Almost surely, 257445056 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 57445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90144600).

57445056 is an abundant number, since it is smaller than the sum of its proper divisors (122844144).

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

57445056 is a wasteful number, since it uses less digits than its factorization.

57445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 57445056 is about 7579.2516781012. The cubic root of 57445056 is about 385.8491540124.

The spelling of 57445056 in words is "fifty-seven million, four hundred forty-five thousand, fifty-six".