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86411052 = 223271322029
BaseRepresentation
bin1010010011010…
…00011100101100
320000121010200100
411021220130230
5134110123202
612324031100
72066324160
oct511503454
9200533610
1086411052
114485a9a2
1224b32490
1314b96500
14b694ca0
1578bd41c
hex526872c

86411052 has 108 divisors (see below), whose sum is σ = 270444720. Its totient is φ = 22778496.

The previous prime is 86411009. The next prime is 86411063. The reversal of 86411052 is 25011468.

86411052 is a `hidden beast` number, since 8 + 641 + 10 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41574 + ... + 43602.

Almost surely, 286411052 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 86411052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135222360).

86411052 is an abundant number, since it is smaller than the sum of its proper divisors (184033668).

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

86411052 is a wasteful number, since it uses less digits than its factorization.

86411052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 86411052 is about 9295.7545148310. The cubic root of 86411052 is about 442.1026289943.

The spelling of 86411052 in words is "eighty-six million, four hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2029 2366 3042 3276 3549 4058 4732 6084 6087 7098 8116 10647 12174 14196 14203 18261 21294 24348 26377 28406 36522 42588 42609 52754 56812 73044 79131 85218 105508 127827 158262 170436 184639 237393 255654 316524 342901 369278 474786 511308 553917 685802 738556 949572 1028703 1107834 1371604 1661751 2057406 2215668 2400307 3086109 3323502 4114812 4800614 6172218 6647004 7200921 9601228 12344436 14401842 21602763 28803684 43205526 86411052