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86925312 = 21334131
BaseRepresentation
bin1010010111001…
…10000000000000
320001120021010000
411023212000000
5134223102222
612343040000
72103565365
oct513460000
9201507100
1086925312
1145081301
1225140000
13150165c6
14b78a46c
1579709ac
hex52e6000

86925312 has 140 divisors (see below), whose sum is σ = 261669276. Its totient is φ = 28753920.

The previous prime is 86925299. The next prime is 86925313. The reversal of 86925312 is 21352968.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86925313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663487 + ... + 663617.

Almost surely, 286925312 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 86925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130834638).

86925312 is an abundant number, since it is smaller than the sum of its proper divisors (174743964).

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

86925312 is an equidigital number, since it uses as much as digits as its factorization.

86925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 86925312 is about 9323.3744963935. The cubic root of 86925312 is about 442.9779266009.

The spelling of 86925312 in words is "eighty-six million, nine hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 256 262 288 324 384 393 432 512 524 576 648 768 786 864 1024 1048 1152 1179 1296 1536 1572 1728 2048 2096 2304 2358 2592 3072 3144 3456 3537 4096 4192 4608 4716 5184 6144 6288 6912 7074 8192 8384 9216 9432 10368 10611 12288 12576 13824 14148 16768 18432 18864 20736 21222 24576 25152 27648 28296 33536 36864 37728 41472 42444 50304 55296 56592 67072 73728 75456 82944 84888 100608 110592 113184 134144 150912 165888 169776 201216 221184 226368 268288 301824 331776 339552 402432 452736 536576 603648 663552 679104 804864 905472 1073152 1207296 1358208 1609728 1810944 2414592 2716416 3219456 3621888 4829184 5432832 7243776 9658368 10865664 14487552 21731328 28975104 43462656 86925312