Search a number
-
+
86218764 = 223172631607
BaseRepresentation
bin1010010001110…
…01100000001100
320000020100220120
411020321200030
5134033000024
612315544540
72064563442
oct510714014
9200210816
1086218764
1144739485
1224a5b150
1314b29b28
14b644b92
157881479
hex523980c

86218764 has 48 divisors (see below), whose sum is σ = 213954048. Its totient is φ = 26929408.

The previous prime is 86218763. The next prime is 86218799. The reversal of 86218764 is 46781268.

It is not an unprimeable number, because it can be changed into a prime (86218763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52849 + ... + 54455.

It is an arithmetic number, because the mean of its divisors is an integer number (4457376).

Almost surely, 286218764 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 86218764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106977024).

86218764 is an abundant number, since it is smaller than the sum of its proper divisors (127735284).

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

86218764 is a wasteful number, since it uses less digits than its factorization.

86218764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1892 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 86218764 is about 9285.4059685078. The cubic root of 86218764 is about 441.7744527408.

The spelling of 86218764 in words is "eighty-six million, two hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 1607 3156 3214 4471 4821 6428 8942 9642 13413 17884 19284 26826 27319 53652 54638 81957 109276 163914 327828 422641 845282 1267923 1690564 2535846 5071692 7184897 14369794 21554691 28739588 43109382 86218764