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86713488 = 2432732113
BaseRepresentation
bin1010010101100…
…10010010010000
320001011111112200
411022302102100
5134144312423
612334323200
72102024001
oct512622220
9201144480
1086713488
1144a47144
1225059500
1314c71074
14b7331a8
15792cd43
hex52b2490

86713488 has 90 divisors (see below), whose sum is σ = 248224626. Its totient is φ = 28256256.

The previous prime is 86713469. The next prime is 86713489. The reversal of 86713488 is 88431768.

It can be written as a sum of positive squares in 3 ways, for example, as 1557504 + 85155984 = 1248^2 + 9228^2 .

It is a super-2 number, since 2×867134882 = 15038458002252288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86713489) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 767320 + ... + 767432.

Almost surely, 286713488 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 86713488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124112313).

86713488 is an abundant number, since it is smaller than the sum of its proper divisors (161511138).

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

86713488 is a wasteful number, since it uses less digits than its factorization.

86713488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 191 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 86713488 is about 9312.0077319556. The cubic root of 86713488 is about 442.6178102481.

The spelling of 86713488 in words is "eighty-six million, seven hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 113 144 146 219 226 292 339 438 452 584 657 678 876 904 1017 1168 1314 1356 1752 1808 2034 2628 2712 3504 4068 5256 5329 5424 8136 8249 10512 10658 15987 16272 16498 21316 24747 31974 32996 42632 47961 49494 63948 65992 74241 85264 95922 98988 127896 131984 148482 191844 197976 255792 296964 383688 395952 593928 602177 767376 1187856 1204354 1806531 2408708 3613062 4817416 5419593 7226124 9634832 10839186 14452248 21678372 28904496 43356744 86713488