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59057424 = 243445569
BaseRepresentation
bin1110000101001…
…0010100010000
311010010102120000
43201102110100
5110104314144
65505450000
71314660036
oct341222420
9133112500
1059057424
1130377798
1217940900
13c309c2a
147bb4556
1552b8769
hex3852510

59057424 has 50 divisors (see below), whose sum is σ = 170933070. Its totient is φ = 19685376.

The previous prime is 59057381. The next prime is 59057441. The reversal of 59057424 is 42475095.

It can be written as a sum of positive squares in only one way, i.e., 58247424 + 810000 = 7632^2 + 900^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21489 + ... + 24080.

Almost surely, 259057424 is an apocalyptic number.

59057424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

59057424 is an abundant number, since it is smaller than the sum of its proper divisors (111875646).

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

59057424 is a wasteful number, since it uses less digits than its factorization.

59057424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45589 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 59057424 is about 7684.8828227892. The cubic root of 59057424 is about 389.4259008747.

The spelling of 59057424 in words is "fifty-nine million, fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 45569 91138 136707 182276 273414 364552 410121 546828 729104 820242 1093656 1230363 1640484 2187312 2460726 3280968 3691089 4921452 6561936 7382178 9842904 14764356 19685808 29528712 59057424