Search a number
-
+
86955372 = 223273111131
BaseRepresentation
bin1010010111011…
…01010101101100
320001121210100100
411023231111230
5134230032442
612343431100
72104052130
oct513552554
9201553310
1086955372
11450a1949
1225155490
13150271aa
14b7973c0
15797984c
hex52ed56c

86955372 has 72 divisors (see below), whose sum is σ = 259331072. Its totient is φ = 24040800.

The previous prime is 86955287. The next prime is 86955377. The reversal of 86955372 is 27355968.

It is a happy number.

It is a super-2 number, since 2×869553722 = 15122473439316768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86955377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247 + ... + 13377.

Almost surely, 286955372 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 86955372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129665536).

86955372 is an abundant number, since it is smaller than the sum of its proper divisors (172375700).

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

86955372 is a wasteful number, since it uses less digits than its factorization.

86955372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11174 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 86955372 is about 9324.9864343065. The cubic root of 86955372 is about 443.0289833894.

The spelling of 86955372 in words is "eighty-six million, nine hundred fifty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 11131 22262 33393 44524 66786 77917 100179 133572 155834 200358 233751 311668 345061 400716 467502 690122 701253 935004 1035183 1380244 1402506 2070366 2415427 2805012 3105549 4140732 4830854 6211098 7246281 9661708 12422196 14492562 21738843 28985124 43477686 86955372