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57414096 = 243514767
BaseRepresentation
bin1101101100000…
…1000111010000
311000000221100000
43123001013100
5104144222341
65410330000
71265004015
oct333010720
9130027300
1057414096
112a455073
1217289900
13bb82c4c
1478a770c
1550918b6
hex36c11d0

57414096 has 60 divisors (see below), whose sum is σ = 166642112. Its totient is φ = 19136736.

The previous prime is 57414061. The next prime is 57414127. The reversal of 57414096 is 69041475.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 57414096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3496 + ... + 11271.

Almost surely, 257414096 is an apocalyptic number.

It is an amenable number.

57414096 is an abundant number, since it is smaller than the sum of its proper divisors (109228016).

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

57414096 is a wasteful number, since it uses less digits than its factorization.

57414096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14772 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57414096 is about 7577.2089848440. The cubic root of 57414096 is about 385.7798237842.

The spelling of 57414096 in words is "fifty-seven million, four hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 14767 29534 44301 59068 88602 118136 132903 177204 236272 265806 354408 398709 531612 708816 797418 1063224 1196127 1594836 2126448 2392254 3189672 3588381 4784508 6379344 7176762 9569016 14353524 19138032 28707048 57414096