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BaseRepresentation
bin1101101110001…
…1000010100000
311000021222221200
43123203002200
5104213144211
65413321200
71266123111
oct333430240
9130258850
1057553056
112a53a510
1217336200
13bc01282
147902208
1550bcb56
hex36e30a0

57553056 has 144 divisors (see below), whose sum is σ = 183744288. Its totient is φ = 16934400.

The previous prime is 57553021. The next prime is 57553063. The reversal of 57553056 is 65035575.

57553056 is a `hidden beast` number, since 5 + 75 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 57553056.

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, 116971 + ... + 117461.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 257553056 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 57553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872144).

57553056 is an abundant number, since it is smaller than the sum of its proper divisors (126191232).

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

57553056 is a wasteful number, since it uses less digits than its factorization.

57553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 57553056 is about 7586.3730464564. The cubic root of 57553056 is about 386.0908088139.

The spelling of 57553056 in words is "fifty-seven million, five hundred fifty-three thousand, fifty-six".