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59428896 = 2531573943
BaseRepresentation
bin1110001010110…
…1000000100000
311010211022010020
43202231000200
5110203211041
65521433440
71321065042
oct342550040
9133738106
1059428896
113060089a
1217a9b880
13c40a037
147c6da92
15533d866
hex38ad020

59428896 has 48 divisors (see below), whose sum is σ = 157034304. Its totient is φ = 19678464.

The previous prime is 59428879. The next prime is 59428909. The reversal of 59428896 is 69882495.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13101 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (3271548).

Almost surely, 259428896 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 59428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517152).

59428896 is an abundant number, since it is smaller than the sum of its proper divisors (97605408).

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

59428896 is a wasteful number, since it uses less digits than its factorization.

59428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4105 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 59428896 is about 7709.0139447273. The cubic root of 59428896 is about 390.2406929746.

The spelling of 59428896 in words is "fifty-nine million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 3943 5024 7536 7886 11829 15072 15772 23658 31544 47316 63088 94632 126176 189264 378528 619051 1238102 1857153 2476204 3714306 4952408 7428612 9904816 14857224 19809632 29714448 59428896