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86440104 = 23321770621
BaseRepresentation
bin1010010011011…
…11100010101000
320000122121112100
411021233202220
5134112040404
612324413400
72066504652
oct511574250
9200577470
1086440104
114487a803
1224b47260
1314ba67ba
14b6a16d2
1578c6d39
hex526f8a8

86440104 has 48 divisors (see below), whose sum is σ = 247883220. Its totient is φ = 27118080.

The previous prime is 86440073. The next prime is 86440127. The reversal of 86440104 is 40104468.

86440104 is a `hidden beast` number, since 8 + 644 + 0 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76212900 + 10227204 = 8730^2 + 3198^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34087 + ... + 36534.

Almost surely, 286440104 is an apocalyptic number.

It is an amenable number.

86440104 is an abundant number, since it is smaller than the sum of its proper divisors (161443116).

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

86440104 is a wasteful number, since it uses less digits than its factorization.

86440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70650 (or 70643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86440104 is about 9297.3170323486. The cubic root of 86440104 is about 442.1521694414.

The spelling of 86440104 in words is "eighty-six million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 70621 141242 211863 282484 423726 564968 635589 847452 1200557 1271178 1694904 2401114 2542356 3601671 4802228 5084712 7203342 9604456 10805013 14406684 21610026 28813368 43220052 86440104