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86166704 = 24133491187
BaseRepresentation
bin1010010001011…
…00110010110000
320000010201111102
411020230302300
5134024313304
612314503532
72064255611
oct510546260
9200121442
1086166704
1144703358
1224a34ba8
1314b0c220
14b62dc08
157870d1e
hex522ccb0

86166704 has 40 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 39621888.

The previous prime is 86166677. The next prime is 86166713. The reversal of 86166704 is 40766168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71999 + ... + 73185.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 286166704 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 86166704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90228600).

86166704 is an abundant number, since it is smaller than the sum of its proper divisors (94290496).

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

86166704 is a wasteful number, since it uses less digits than its factorization.

86166704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 86166704 is about 9282.6022213601. The cubic root of 86166704 is about 441.6855184707.

The spelling of 86166704 in words is "eighty-six million, one hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 349 698 1187 1396 2374 2792 4537 4748 5584 9074 9496 15431 18148 18992 30862 36296 61724 72592 123448 246896 414263 828526 1657052 3314104 5385419 6628208 10770838 21541676 43083352 86166704