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86172192 = 25325472
BaseRepresentation
bin1010010001011…
…10001000100000
320000011000000200
411020232020200
5134030002232
612314545200
72064310611
oct510561040
9200130020
1086172192
1144707497
1224a38200
1314b11882
14b631c08
15787277c
hex522e220

86172192 has 54 divisors (see below), whose sum is σ = 245500983. Its totient is φ = 28671552.

The previous prime is 86172143. The next prime is 86172259. The reversal of 86172192 is 29127168.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 43086096 + 43086096 = 6564^2 + 6564^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6564.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157263 + ... + 157809.

Almost surely, 286172192 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 86172192

86172192 is an abundant number, since it is smaller than the sum of its proper divisors (159328791).

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

86172192 is an equidigital number, since it uses as much as digits as its factorization.

86172192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 552 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 86172192 is about 9282.8978234170. The cubic root of 86172192 is about 441.6948953280.

The spelling of 86172192 in words is "eighty-six million, one hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 547 1094 1641 2188 3282 4376 4923 6564 8752 9846 13128 17504 19692 26256 39384 52512 78768 157536 299209 598418 897627 1196836 1795254 2393672 2692881 3590508 4787344 5385762 7181016 9574688 10771524 14362032 21543048 28724064 43086096 86172192