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59104288 = 2519412371
BaseRepresentation
bin1110000101110…
…1110000100000
311010012210211201
43201131300200
5110112314123
65510450544
71315243465
oct341356040
9133183751
1059104288
11303a9a21
1217963a54
13c325369
147bc766c
1552c75ad
hex385dc20

59104288 has 48 divisors (see below), whose sum is σ = 125526240. Its totient is φ = 27302400.

The previous prime is 59104261. The next prime is 59104301. The reversal of 59104288 is 88240195.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23743 + ... + 26113.

It is an arithmetic number, because the mean of its divisors is an integer number (2615130).

Almost surely, 259104288 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 59104288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763120).

59104288 is an abundant number, since it is smaller than the sum of its proper divisors (66421952).

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

59104288 is a wasteful number, since it uses less digits than its factorization.

59104288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 59104288 is about 7687.9313212333. The cubic root of 59104288 is about 389.5288810420.

The spelling of 59104288 in words is "fifty-nine million, one hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 2371 3116 4742 6232 9484 12464 18968 24928 37936 45049 75872 90098 97211 180196 194422 360392 388844 720784 777688 1441568 1555376 1847009 3110752 3694018 7388036 14776072 29552144 59104288