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59308144 = 247796703
BaseRepresentation
bin1110001000111…
…1100001110000
311010121011110221
43202033201300
5110140330034
65515102424
71320053020
oct342174160
9133534427
1059308144
11305290a5
1217a41a14
13c39709c
147c3ba80
155317bb4
hex388f870

59308144 has 40 divisors (see below), whose sum is σ = 133007360. Its totient is φ = 25092288.

The previous prime is 59308133. The next prime is 59308159. The reversal of 59308144 is 44180395.

It is a congruent number.

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, 5497 + ... + 12199.

It is an arithmetic number, because the mean of its divisors is an integer number (3325184).

Almost surely, 259308144 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 59308144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66503680).

59308144 is an abundant number, since it is smaller than the sum of its proper divisors (73699216).

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

59308144 is a wasteful number, since it uses less digits than its factorization.

59308144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 59308144 is about 7701.1780916948. The cubic root of 59308144 is about 389.9762071832.

The spelling of 59308144 in words is "fifty-nine million, three hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 6703 8848 13406 26812 46921 53624 93842 107248 187684 375368 529537 750736 1059074 2118148 3706759 4236296 7413518 8472592 14827036 29654072 59308144