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57034575 = 325213173137
BaseRepresentation
bin1101100110010…
…0011101001111
310222022122201200
43121210131033
5104100101300
65354240543
71261533363
oct331443517
9128278650
1057034575
112a215a14
1217126153
13ba7c290
1478092a3
155019200
hex366474f

57034575 has 144 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 24883200.

The previous prime is 57034559. The next prime is 57034583. The reversal of 57034575 is 57543075.

57034575 is a `hidden beast` number, since 57 + 0 + 34 + 575 = 666.

It is not a de Polignac number, because 57034575 - 24 = 57034559 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1541457 + ... + 1541493.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 257034575 is an apocalyptic number.

57034575 is an abundant number, since it is smaller than the sum of its proper divisors (66457521).

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

57034575 is a wasteful number, since it uses less digits than its factorization.

57034575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 57034575 is about 7552.1238734544. The cubic root of 57034575 is about 384.9279113917.

The spelling of 57034575 in words is "fifty-seven million, thirty-four thousand, five hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 31 37 39 45 51 65 75 85 93 111 117 153 155 185 195 221 225 255 279 325 333 403 425 465 481 527 555 585 629 663 765 775 925 975 1105 1147 1209 1275 1395 1443 1581 1665 1887 1989 2015 2325 2405 2635 2775 2925 3145 3315 3441 3627 3825 4329 4743 5525 5661 5735 6045 6851 6975 7215 7905 8177 8325 9435 9945 10075 10323 12025 13175 14911 15725 16575 17205 18135 19499 20553 21645 23715 24531 28305 28675 30225 34255 36075 39525 40885 44733 47175 49725 51615 58497 61659 73593 74555 86025 90675 97495 102765 108225 118575 122655 134199 141525 171275 175491 204425 223665 253487 258075 292485 308295 367965 372775 487475 513825 613275 670995 760461 877455 1118325 1267435 1462425 1541475 1839825 2281383 3354975 3802305 4387275 6337175 11406915 19011525 57034575