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58996 = 227343
BaseRepresentation
bin1110011001110100
32222221001
432121310
53341441
61133044
7334000
oct163164
988831
1058996
1140363
122a184
1320b12
1417700
1512731
hexe674

58996 has 24 divisors (see below), whose sum is σ = 123200. Its totient is φ = 24696.

The previous prime is 58991. The next prime is 58997. The reversal of 58996 is 69985.

58996 is a nontrivial binomial coefficient, being equal to C(344, 2).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 1393.

258996 is an apocalyptic number.

58996 is the 343-rd triangular number and also the 172-nd hexagonal number.

58996 is the 115-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61600).

58996 is an abundant number, since it is smaller than the sum of its proper divisors (64204).

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

58996 is a wasteful number, since it uses less digits than its factorization.

58996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 58996 is about 242.8909220206. The cubic root of 58996 is about 38.9290843656.

The spelling of 58996 in words is "fifty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 602 686 1204 1372 2107 4214 8428 14749 29498 58996