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57414525 = 3527217919
BaseRepresentation
bin1101101100000…
…1001101111101
311000000221220220
43123001031331
5104144231100
65410331553
71265005200
oct333011575
9130027826
1057414525
112a455423
1217289bb9
13bb831bc
1478a7937
155091aa0
hex36c137d

57414525 has 72 divisors (see below), whose sum is σ = 117046080. Its totient is φ = 24675840.

The previous prime is 57414521. The next prime is 57414547. The reversal of 57414525 is 52541475.

It is not a de Polignac number, because 57414525 - 22 = 57414521 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57414521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62016 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (1625640).

Almost surely, 257414525 is an apocalyptic number.

It is an amenable number.

57414525 is an abundant number, since it is smaller than the sum of its proper divisors (59631555).

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

57414525 is a wasteful number, since it uses less digits than its factorization.

57414525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its digits is 28000, while the sum is 33.

The square root of 57414525 is about 7577.2372933676. The cubic root of 57414525 is about 385.7807846350.

The spelling of 57414525 in words is "fifty-seven million, four hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 525 595 735 833 919 1225 1275 1785 2499 2757 2975 3675 4165 4595 6433 8925 12495 13785 15623 19299 20825 22975 32165 45031 46869 62475 68925 78115 96495 109361 135093 160825 225155 234345 328083 390575 482475 546805 675465 765527 1125775 1171725 1640415 2296581 2734025 3377325 3827635 8202075 11482905 19138175 57414525