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86304232 = 23719292797
BaseRepresentation
bin1010010010011…
…10010111101000
320000101201011001
411021032113220
5134043213412
612321444344
72065400560
oct511162750
9200351131
1086304232
1144797713
1224aa06b4
1314b599c1
14b667da0
15789b957
hex524e5e8

86304232 has 64 divisors (see below), whose sum is σ = 201456000. Its totient is φ = 33820416.

The previous prime is 86304199. The next prime is 86304233. The reversal of 86304232 is 23240368.

It is a super-2 number, since 2×863042322 = 14896840922219648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 86304232.

It is not an unprimeable number, because it can be changed into a prime (86304233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29458 + ... + 32254.

It is an arithmetic number, because the mean of its divisors is an integer number (3147750).

Almost surely, 286304232 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 86304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100728000).

86304232 is an abundant number, since it is smaller than the sum of its proper divisors (115151768).

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

86304232 is a wasteful number, since it uses less digits than its factorization.

86304232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 86304232 is about 9290.0071044106. The cubic root of 86304232 is about 441.9203804089.

The spelling of 86304232 in words is "eighty-six million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1624 2204 2797 3857 4408 5594 7714 11188 15428 19579 22376 30856 39158 53143 78316 81113 106286 156632 162226 212572 324452 372001 425144 567791 648904 744002 1135582 1488004 1541147 2271164 2976008 3082294 4542328 6164588 10788029 12329176 21576058 43152116 86304232