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57055104 = 27345503
BaseRepresentation
bin1101100110100…
…1011110000000
310222100200220000
43121221132000
5104101230404
65354520000
71261650261
oct331513600
9128320800
1057055104
112a22a387
1217136000
13ba88722
147812968
155020339
hex3669780

57055104 has 80 divisors (see below), whose sum is σ = 169825920. Its totient is φ = 19014912.

The previous prime is 57055057. The next prime is 57055129. The reversal of 57055104 is 40155075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7617 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (2122824).

Almost surely, 257055104 is an apocalyptic number.

57055104 is a gapful number since it is divisible by the number (54) 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 57055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84912960).

57055104 is an abundant number, since it is smaller than the sum of its proper divisors (112770816).

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

57055104 is an equidigital number, since it uses as much as digits as its factorization.

57055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57055104 is about 7553.4829052564. The cubic root of 57055104 is about 384.9740894465.

The spelling of 57055104 in words is "fifty-seven million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5503 10368 11006 16509 22012 33018 44024 49527 66036 88048 99054 132072 148581 176096 198108 264144 297162 352192 396216 445743 528288 594324 704384 792432 891486 1056576 1188648 1584864 1782972 2113152 2377296 3169728 3565944 4754592 6339456 7131888 9509184 14263776 19018368 28527552 57055104