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86007978 = 23272233061
BaseRepresentation
bin1010010000001…
…10000010101010
312222211122202200
411020012002222
5134004223403
612311241030
72063025060
oct510060252
9188748680
1086007978
1144605081
1224979176
1314a84bc4
14b5cc030
15783dca3
hex52060aa

86007978 has 48 divisors (see below), whose sum is σ = 213997056. Its totient is φ = 24455520.

The previous prime is 86007959. The next prime is 86008009. The reversal of 86007978 is 87970068.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26568 + ... + 29628.

It is an arithmetic number, because the mean of its divisors is an integer number (4458272).

Almost surely, 286007978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86007978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106998528).

86007978 is an abundant number, since it is smaller than the sum of its proper divisors (127989078).

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

86007978 is a wasteful number, since it uses less digits than its factorization.

86007978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 86007978 is about 9274.0486304526. The cubic root of 86007978 is about 441.4141450205.

The spelling of 86007978 in words is "eighty-six million, seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 3061 3122 4014 4683 6122 9183 9366 14049 18366 21427 27549 28098 42854 55098 64281 128562 192843 385686 682603 1365206 2047809 4095618 4778221 6143427 9556442 12286854 14334663 28669326 43003989 86007978