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57259489 = 72232472
BaseRepresentation
bin1101101001101…
…1010111100001
310222202002020211
43122123113201
5104124300424
65403134121
71263461200
oct332332741
9128662224
1057259489
112a3599a1
1217214341
13bb2a771
147867237
155060b94
hex369b5e1

57259489 has 27 divisors (see below), whose sum is σ = 71142897. Its totient is φ = 45946824.

The previous prime is 57259481. The next prime is 57259537. The reversal of 57259489 is 98495275.

The square root of 57259489 is 7567.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 57259489 - 23 = 57259481 is a prime.

It is a super-2 number, since 2×572594892 = 6557298161082242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (57259481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1218264 + ... + 1218310.

Almost surely, 257259489 is an apocalyptic number.

57259489 is the 7567-th square number.

57259489 is the 3784-th centered octagonal number.

It is an amenable number.

57259489 is a deficient number, since it is larger than the sum of its proper divisors (13883408).

57259489 is an equidigital number, since it uses as much as digits as its factorization.

57259489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The cubic root of 57259489 is about 385.4332313205.

Multiplying 57259489 by its sum of digits (49), we get a square (2805714961 = 529692).

57259489 divided by its sum of digits (49) gives a square (1168561 = 10812).

The spelling of 57259489 in words is "fifty-seven million, two hundred fifty-nine thousand, four hundred eighty-nine".

Divisors: 1 7 23 47 49 161 329 529 1081 1127 2209 2303 3703 7567 15463 24863 25921 50807 52969 108241 174041 355649 1168561 1218287 2489543 8179927 57259489