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86213484 = 2235712671
BaseRepresentation
bin1010010001110…
…00001101101100
320000020002200000
411020320031230
5134032312414
612315504300
72064542160
oct510701554
9200202600
1086213484
1144735515
1224a58090
1314b275c6
14b642ca0
15787eb09
hex523836c

86213484 has 72 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 24630480.

The previous prime is 86213483. The next prime is 86213509. The reversal of 86213484 is 48431268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86213483) 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, 469 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (3587584).

Almost surely, 286213484 is an apocalyptic number.

86213484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86213484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

86213484 is an abundant number, since it is smaller than the sum of its proper divisors (172092564).

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

86213484 is a wasteful number, since it uses less digits than its factorization.

86213484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12683 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 86213484 is about 9285.1216470222. The cubic root of 86213484 is about 441.7654345310.

The spelling of 86213484 in words is "eighty-six million, two hundred thirteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 12671 25342 38013 50684 76026 88697 114039 152052 177394 228078 266091 342117 354788 456156 532182 684234 798273 1026351 1064364 1368468 1596546 2052702 2394819 3079053 3193092 4105404 4789638 6158106 7184457 9579276 12316212 14368914 21553371 28737828 43106742 86213484