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86244912 = 2434135119
BaseRepresentation
bin1010010001111…
…11111000110000
320000021200210000
411020333320300
5134034314122
612320310000
72065032615
oct510777060
9200250700
1086244912
1144757096
1224a72300
1314b389c0
14b65050c
1578890ac
hex523fe30

86244912 has 100 divisors (see below), whose sum is σ = 268871680. Its totient is φ = 26531712.

The previous prime is 86244881. The next prime is 86244919. The reversal of 86244912 is 21944268.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86244919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14289 + ... + 19407.

Almost surely, 286244912 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 86244912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134435840).

86244912 is an abundant number, since it is smaller than the sum of its proper divisors (182626768).

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

86244912 is a wasteful number, since it uses less digits than its factorization.

86244912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5137 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86244912 is about 9286.8138777516. The cubic root of 86244912 is about 441.8191079500.

The spelling of 86244912 in words is "eighty-six million, two hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5119 5616 8424 10238 15357 16848 20476 30714 40952 46071 61428 66547 81904 92142 122856 133094 138213 184284 199641 245712 266188 276426 368568 399282 414639 532376 552852 598923 737136 798564 829278 1064752 1105704 1197846 1597128 1658556 1796769 2211408 2395692 3194256 3317112 3593538 4791384 5390307 6634224 7187076 9582768 10780614 14374152 21561228 28748304 43122456 86244912