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59290 = 2572112
BaseRepresentation
bin1110011110011010
310000022221
432132122
53344130
61134254
7334600
oct163632
9100287
1059290
1140600
122a38a
1320caa
1417870
151287a
hexe79a

59290 has 36 divisors (see below), whose sum is σ = 136458. Its totient is φ = 18480.

The previous prime is 59281. The next prime is 59333. The reversal of 59290 is 9295.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 5929 = 231^2 + 77^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5385 + ... + 5395.

259290 is an apocalyptic number.

59290 is an abundant number, since it is smaller than the sum of its proper divisors (77168).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229).

59290 is a wasteful number, since it uses less digits than its factorization.

59290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 59290 is about 243.4953798330. The cubic root of 59290 is about 38.9936434961.

Multiplying 59290 by its product of nonzero digits (810), we get a triangular number (48024900 = T9800).

The spelling of 59290 in words is "fifty-nine thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 121 154 242 245 385 490 539 605 770 847 1078 1210 1694 2695 4235 5390 5929 8470 11858 29645 59290