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86258406 = 23137315149
BaseRepresentation
bin1010010010000…
…11001011100110
320000022101021210
411021003023212
5134040232111
612320452250
72065120143
oct511031346
9200271253
1086258406
1144766243
1224a7a086
1314b41ba0
14b6553ca
15788d0a6
hex52432e6

86258406 has 32 divisors (see below), whose sum is σ = 188344800. Its totient is φ = 26175744.

The previous prime is 86258377. The next prime is 86258443. The reversal of 86258406 is 60485268.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (5885775).

Almost surely, 286258406 is an apocalyptic number.

86258406 is an abundant number, since it is smaller than the sum of its proper divisors (102086394).

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

86258406 is a wasteful number, since it uses less digits than its factorization.

86258406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240.

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 86258406 is about 9287.5403633039. The cubic root of 86258406 is about 441.8421492943.

The spelling of 86258406 in words is "eighty-six million, two hundred fifty-eight thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1898 2847 5694 15149 30298 45447 90894 196937 393874 590811 1105877 1181622 2211754 3317631 6635262 14376401 28752802 43129203 86258406