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57455380 = 22523295973
BaseRepresentation
bin1101101100101…
…1001100010100
311000010000222001
43123023030110
5104202033010
65411245044
71265235253
oct333131424
9130100861
1057455380
112a483094
12172a9784
13bb98988
1478b879a
15509dc3a
hex36cb314

57455380 has 96 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 20579328.

The previous prime is 57455371. The next prime is 57455399. The reversal of 57455380 is 8355475.

57455380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×574553802 = 6602241381888800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 787024 + ... + 787096.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 257455380 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 57455380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67132800).

57455380 is an abundant number, since it is smaller than the sum of its proper divisors (76810220).

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

57455380 is a wasteful number, since it uses less digits than its factorization.

57455380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 57455380 is about 7579.9327173795. The cubic root of 57455380 is about 385.8722675075.

The spelling of 57455380 in words is "fifty-seven million, four hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 29 46 58 59 73 92 115 116 118 145 146 230 236 290 292 295 365 460 580 590 667 730 1180 1334 1357 1460 1679 1711 2117 2668 2714 3335 3358 3422 4234 4307 5428 6670 6716 6785 6844 8395 8468 8555 8614 10585 13340 13570 16790 17110 17228 21170 21535 27140 33580 34220 39353 42340 43070 48691 78706 86140 97382 99061 124903 157412 194764 196765 198122 243455 249806 393530 396244 486910 495305 499612 624515 787060 973820 990610 1249030 1981220 2498060 2872769 5745538 11491076 14363845 28727690 57455380