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58882116 = 22323317673
BaseRepresentation
bin1110000010011…
…1100001000100
311002210112002010
43200213201010
5110033211431
65502014220
71313326656
oct340474104
9132715063
1058882116
1130268007
1217877370
13c2781b7
147b6a6d6
155281846
hex3827844

58882116 has 48 divisors (see below), whose sum is σ = 144031104. Its totient is φ = 18686976.

The previous prime is 58882081. The next prime is 58882157. The reversal of 58882116 is 61128885.

It is a Smith number, since the sum of its digits (39) 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 15 ways as a sum of consecutive naturals, for example, 87156 + ... + 87828.

It is an arithmetic number, because the mean of its divisors is an integer number (3000648).

Almost surely, 258882116 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 58882116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72015552).

58882116 is an abundant number, since it is smaller than the sum of its proper divisors (85148988).

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

58882116 is a wasteful number, since it uses less digits than its factorization.

58882116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its digits is 30720, while the sum is 39.

The square root of 58882116 is about 7673.4683162179. The cubic root of 58882116 is about 389.0401907532.

The spelling of 58882116 in words is "fifty-eight million, eight hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 317 634 673 951 1268 1346 1902 2019 2692 3804 4038 7291 8076 14582 15479 21873 29164 30958 43746 46437 61916 87492 92874 185748 213341 426682 640023 853364 1280046 2560092 4906843 9813686 14720529 19627372 29441058 58882116