Search a number
-
+
86409708 = 223711175501
BaseRepresentation
bin1010010011010…
…00000111101100
320000121001211120
411021220013230
5134110102313
612324020540
72066320230
oct511500754
9200531746
1086409708
1144859990
1224b31750
1314b95a08
14b6945c0
1578bcd23
hex52681ec

86409708 has 96 divisors (see below), whose sum is σ = 266208768. Its totient is φ = 21120000.

The previous prime is 86409703. The next prime is 86409731. The reversal of 86409708 is 80790468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 86409708.

It is not an unprimeable number, because it can be changed into a prime (86409703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12958 + ... + 18458.

It is an arithmetic number, because the mean of its divisors is an integer number (2773008).

Almost surely, 286409708 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 86409708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133104384).

86409708 is an abundant number, since it is smaller than the sum of its proper divisors (179799060).

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

86409708 is a wasteful number, since it uses less digits than its factorization.

86409708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 86409708 is about 9295.6822234842. The cubic root of 86409708 is about 442.1003368916.

The spelling of 86409708 in words is "eighty-six million, four hundred nine thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 5501 7854 11002 15708 16503 22004 33006 38507 60511 66012 77014 93517 115521 121022 154028 181533 187034 231042 242044 280551 363066 374068 423577 462084 561102 654619 726132 847154 1028687 1122204 1270731 1309238 1694308 1963857 2057374 2541462 2618476 3086061 3927714 4114748 5082924 6172122 7200809 7855428 12344244 14401618 21602427 28803236 43204854 86409708