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59488 = 2511132
BaseRepresentation
bin1110100001100000
310000121021
432201200
53400423
61135224
7335302
oct164140
9100537
1059488
1140770
122a514
1321100
1417972
151295d
hexe860

59488 has 36 divisors (see below), whose sum is σ = 138348. Its totient is φ = 24960.

The previous prime is 59473. The next prime is 59497. The reversal of 59488 is 88495.

It is a nialpdrome in base 13 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4570 + ... + 4582.

It is an arithmetic number, because the mean of its divisors is an integer number (3843).

259488 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 59488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174).

59488 is an abundant number, since it is smaller than the sum of its proper divisors (78860).

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

59488 is a wasteful number, since it uses less digits than its factorization.

59488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 26 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 59488 is about 243.9016195108. The cubic root of 59488 is about 39.0370019197.

The spelling of 59488 in words is "fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4576 5408 7436 14872 29744 59488