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86392125 = 3253411873
BaseRepresentation
bin1010010011000…
…11110100111101
320000120011201100
411021203310331
5134104022000
612323403313
72066215041
oct511436475
9200504640
1086392125
1144847756
1224b23539
1314b8aa01
14b68c021
1578b7a00
hex5263d3d

86392125 has 48 divisors (see below), whose sum is σ = 159619824. Its totient is φ = 44928000.

The previous prime is 86392123. The next prime is 86392129. The reversal of 86392125 is 52129368.

86392125 is a `hidden beast` number, since 8 + 639 + 2 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74960964 + 11431161 = 8658^2 + 3381^2 .

It is not a de Polignac number, because 86392125 - 21 = 86392123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86392125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86392123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45189 + ... + 47061.

It is an arithmetic number, because the mean of its divisors is an integer number (3325413).

Almost surely, 286392125 is an apocalyptic number.

It is an amenable number.

86392125 is a deficient number, since it is larger than the sum of its proper divisors (73227699).

86392125 is a wasteful number, since it uses less digits than its factorization.

86392125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1922 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 86392125 is about 9294.7364136914. The cubic root of 86392125 is about 442.0703480639.

The spelling of 86392125 in words is "eighty-six million, three hundred ninety-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 369 375 615 1025 1125 1845 1873 3075 5125 5619 9225 9365 15375 16857 28095 46125 46825 76793 84285 140475 230379 234125 383965 421425 691137 702375 1151895 1919825 2107125 3455685 5759475 9599125 17278425 28797375 86392125