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57251025 = 32521323237
BaseRepresentation
bin1101101001100…
…1010011010001
310222201122122100
43122121103101
5104124013100
65403031013
71263424416
oct332312321
9128648570
1057251025
112a3535a7
121720b469
13bb26960
14786410d
15505d400
hex36994d1

57251025 has 108 divisors (see below), whose sum is σ = 118560988. Its totient is φ = 26231040.

The previous prime is 57251021. The next prime is 57251027. The reversal of 57251025 is 52015275.

It is a happy number.

57251025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 685584 + 56565441 = 828^2 + 7521^2 .

It is not a de Polignac number, because 57251025 - 22 = 57251021 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57251025.

It is not an unprimeable number, because it can be changed into a prime (57251021) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1547307 + ... + 1547343.

Almost surely, 257251025 is an apocalyptic number.

It is an amenable number.

57251025 is an abundant number, since it is smaller than the sum of its proper divisors (61309963).

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

57251025 is a wasteful number, since it uses less digits than its factorization.

57251025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

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

The square root of 57251025 is about 7566.4407088142. The cubic root of 57251025 is about 385.4142390237.

The spelling of 57251025 in words is "fifty-seven million, two hundred fifty-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 23 25 37 39 45 65 69 75 111 115 117 185 195 207 225 299 325 333 345 481 529 555 575 585 851 897 925 975 1035 1443 1495 1587 1665 1725 2405 2553 2645 2691 2775 2925 4255 4329 4485 4761 5175 6877 7215 7475 7659 7935 8325 11063 12025 12765 13225 13455 19573 20631 21275 21645 22425 23805 33189 34385 36075 38295 39675 55315 58719 61893 63825 67275 97865 99567 103155 108225 119025 165945 171925 176157 191475 254449 276575 293595 309465 489325 497835 515775 763347 829725 880785 1272245 1467975 1547325 2290041 2489175 3816735 4403925 6361225 11450205 19083675 57251025