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86287392 = 2532535653
BaseRepresentation
bin1010010010010…
…10010000100000
320000100212001100
411021022100200
5134042144032
612321234400
72065300512
oct511122040
9200325040
1086287392
1144785aa4
1224a92a00
1314b52139
14b661bb2
15789697c
hex524a420

86287392 has 72 divisors (see below), whose sum is σ = 250053804. Its totient is φ = 28214784.

The previous prime is 86287391. The next prime is 86287423. The reversal of 86287392 is 29378268.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 5934096 = 8964^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86287391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12438 + ... + 18090.

Almost surely, 286287392 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 86287392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125026902).

86287392 is an abundant number, since it is smaller than the sum of its proper divisors (163766412).

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

86287392 is a wasteful number, since it uses less digits than its factorization.

86287392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5711 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86287392 is about 9289.1007099719. The cubic root of 86287392 is about 441.8916354945.

The spelling of 86287392 in words is "eighty-six million, two hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 5653 7632 11306 15264 16959 22612 33918 45224 50877 67836 90448 101754 135672 180896 203508 271344 299609 407016 542688 599218 814032 898827 1198436 1628064 1797654 2396872 2696481 3595308 4793744 5392962 7190616 9587488 10785924 14381232 21571848 28762464 43143696 86287392