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86781331 = 7132109673
BaseRepresentation
bin1010010110000…
…10110110010011
320001021221121101
411023002312103
5134204000311
612340005231
72102425540
oct513026623
9201257541
1086781331
1144a9310a
1225090817
1314c95c00
14b74dbc7
157942ec1
hex52c2d93

86781331 has 24 divisors (see below), whose sum is σ = 108540960. Its totient is φ = 67931136.

The previous prime is 86781301. The next prime is 86781337. The reversal of 86781331 is 13318768.

It is not a de Polignac number, because 86781331 - 221 = 84684179 is a prime.

It is a super-2 number, since 2×867813312 = 15061998820263122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86781337) 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 23 ways as a sum of consecutive naturals, for example, 128611 + ... + 129283.

It is an arithmetic number, because the mean of its divisors is an integer number (4522540).

Almost surely, 286781331 is an apocalyptic number.

86781331 is a deficient number, since it is larger than the sum of its proper divisors (21759629).

86781331 is a wasteful number, since it uses less digits than its factorization.

86781331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 86781331 is about 9315.6497894672. The cubic root of 86781331 is about 442.7332121036.

The spelling of 86781331 in words is "eighty-six million, seven hundred eighty-one thousand, three hundred thirty-one".

Divisors: 1 7 13 91 109 169 673 763 1183 1417 4711 8749 9919 18421 61243 73357 113737 128947 513499 796159 953641 6675487 12397333 86781331