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86265088 = 287213232
BaseRepresentation
bin1010010010001…
…00110100000000
320000022201110021
411021010310000
5134040440323
612320543224
72065145500
oct511046400
9200281407
1086265088
1144770268
1224a81b14
1314b44c40
14b657a00
15789005d
hex5244d00

86265088 has 162 divisors, whose sum is σ = 225501234. Its totient is φ = 32643072.

The previous prime is 86265083. The next prime is 86265133. The reversal of 86265088 is 88056268.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 26543104 = 7728^2 + 5152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86265083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3750645 + ... + 3750667.

Almost surely, 286265088 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 86265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112750617).

86265088 is an abundant number, since it is smaller than the sum of its proper divisors (139236146).

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

86265088 is a wasteful number, since it uses less digits than its factorization.

86265088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 86265088 is about 9287.9000855952. The cubic root of 86265088 is about 441.8535580877.

The spelling of 86265088 in words is "eighty-six million, two hundred sixty-five thousand, eighty-eight".