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59290112 = 29771233
BaseRepresentation
bin1110001000101…
…1001000000000
311010120020202002
43202023020000
5110134240422
65514443132
71316646320
oct342131000
9133506662
1059290112
11305165a2
1217a334a8
13c38bb0b
147c35280
155312692
hex388b200

59290112 has 80 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 24944640.

The previous prime is 59290081. The next prime is 59290117. The reversal of 59290112 is 21109295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59290117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254348 + ... + 254580.

Almost surely, 259290112 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 59290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

59290112 is an abundant number, since it is smaller than the sum of its proper divisors (78593920).

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

59290112 is an equidigital number, since it uses as much as digits as its factorization.

59290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 59290112 is about 7700.0072727238. The cubic root of 59290112 is about 389.9366804938.

The spelling of 59290112 in words is "fifty-nine million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 233 256 284 448 466 497 512 568 896 932 994 1136 1631 1792 1864 1988 2272 3262 3584 3728 3976 4544 6524 7456 7952 9088 13048 14912 15904 16543 18176 26096 29824 31808 33086 36352 52192 59648 63616 66172 104384 115801 119296 127232 132344 208768 231602 254464 264688 417536 463204 529376 835072 926408 1058752 1852816 2117504 3705632 4235008 7411264 8470016 14822528 29645056 59290112