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86128452 = 22323764661
BaseRepresentation
bin1010010001000…
…11011101000100
320000001210000200
411020203131010
5134022102302
612314010500
72064036234
oct510433504
9200053020
1086128452
1144687643
1224a16a30
1314ac79a7
14b61dcc4
15786481c
hex5223744

86128452 has 36 divisors (see below), whose sum is σ = 223601196. Its totient is φ = 27933120.

The previous prime is 86128429. The next prime is 86128459. The reversal of 86128452 is 25482168.

86128452 is a `hidden beast` number, since 86 + 128 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33942276 + 52186176 = 5826^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×861284522 = 14836220487832608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86128459) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30999 + ... + 33662.

Almost surely, 286128452 is an apocalyptic number.

It is an amenable number.

86128452 is an abundant number, since it is smaller than the sum of its proper divisors (137472744).

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

86128452 is a wasteful number, since it uses less digits than its factorization.

86128452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64708 (or 64703 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 86128452 is about 9280.5415790244. The cubic root of 86128452 is about 441.6201496201.

The spelling of 86128452 in words is "eighty-six million, one hundred twenty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 64661 129322 193983 258644 387966 581949 775932 1163898 2327796 2392457 4784914 7177371 9569828 14354742 21532113 28709484 43064226 86128452