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58872520 = 23574613
BaseRepresentation
bin1110000010010…
…1001011001000
311002210000220201
43200211023020
5110032410040
65501501544
71313260000
oct340451310
9132700821
1058872520
1130260883
12178718b4
13c273a15
147b67000
15527da9a
hex38252c8

58872520 has 80 divisors (see below), whose sum is σ = 154783260. Its totient is φ = 20151936.

The previous prime is 58872511. The next prime is 58872553. The reversal of 58872520 is 2527885.

It can be written as a sum of positive squares in 2 ways, for example, as 48413764 + 10458756 = 6958^2 + 3234^2 .

It is a super-2 number, since 2×588725202 = 6931947222300800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58872520.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95734 + ... + 96346.

Almost surely, 258872520 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 58872520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77391630).

58872520 is an abundant number, since it is smaller than the sum of its proper divisors (95910740).

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

58872520 is an equidigital number, since it uses as much as digits as its factorization.

58872520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 58872520 is about 7672.8430193768. The cubic root of 58872520 is about 389.0190556857.

The spelling of 58872520 in words is "fifty-eight million, eight hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 613 686 980 1226 1372 1715 1960 2401 2452 2744 3065 3430 4291 4802 4904 6130 6860 8582 9604 12005 12260 13720 17164 19208 21455 24010 24520 30037 34328 42910 48020 60074 85820 96040 120148 150185 171640 210259 240296 300370 420518 600740 841036 1051295 1201480 1471813 1682072 2102590 2943626 4205180 5887252 7359065 8410360 11774504 14718130 29436260 58872520