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59408 = 244779
BaseRepresentation
bin1110100000010000
310000111022
432200100
53400113
61135012
7335126
oct164020
9100438
1059408
11406a8
122a468
132106b
1417916
1512908
hexe810

59408 has 20 divisors (see below), whose sum is σ = 119040. Its totient is φ = 28704.

The previous prime is 59407. The next prime is 59417. The reversal of 59408 is 80495.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

259408 is an apocalyptic number.

It is an amenable number.

59408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (59520).

59408 is a wasteful number, since it uses less digits than its factorization.

59408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 59408 is about 243.7375637853. The cubic root of 59408 is about 39.0194949652.

The spelling of 59408 in words is "fifty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 47 79 94 158 188 316 376 632 752 1264 3713 7426 14852 29704 59408