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57059124 = 223291131451
BaseRepresentation
bin1101100110101…
…0011100110100
310222100220101220
43121222130310
5104101342444
65354550340
71261665063
oct331523464
9128326356
1057059124
112a232401
12171383b0
13ba8a4c5
1478141da
155021619
hex366a734

57059124 has 48 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 18188800.

The previous prime is 57059117. The next prime is 57059129. The reversal of 57059124 is 42195075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57059129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38599 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 257059124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57059124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

57059124 is an abundant number, since it is smaller than the sum of its proper divisors (81984396).

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

57059124 is a wasteful number, since it uses less digits than its factorization.

57059124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 57059124 is about 7553.7490029786. The cubic root of 57059124 is about 384.9831307614.

The spelling of 57059124 in words is "fifty-seven million, fifty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 452 678 1356 1451 2902 3277 4353 5804 6554 8706 9831 13108 17412 19662 39324 42079 84158 126237 163963 168316 252474 327926 491889 504948 655852 983778 1967556 4754927 9509854 14264781 19019708 28529562 57059124