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86694912 = 2103223409
BaseRepresentation
bin1010010101011…
…01110000000000
320001010120001200
411022231300000
5134143214122
612334101200
72101615563
oct512556000
9201116050
1086694912
1144a34197
122504a800
1314c65785
14b72a4da
1579275ac
hex52adc00

86694912 has 132 divisors (see below), whose sum is σ = 261852240. Its totient is φ = 27574272.

The previous prime is 86694901. The next prime is 86694913. The reversal of 86694912 is 21949668.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86694913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211764 + ... + 212172.

Almost surely, 286694912 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 86694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130926120).

86694912 is an abundant number, since it is smaller than the sum of its proper divisors (175157328).

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

86694912 is a wasteful number, since it uses less digits than its factorization.

86694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 86694912 is about 9311.0102566800. The cubic root of 86694912 is about 442.5862017259.

The spelling of 86694912 in words is "eighty-six million, six hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 409 414 512 552 576 736 768 818 828 1024 1104 1152 1227 1472 1536 1636 1656 2208 2304 2454 2944 3072 3272 3312 3681 4416 4608 4908 5888 6544 6624 7362 8832 9216 9407 9816 11776 13088 13248 14724 17664 18814 19632 23552 26176 26496 28221 29448 35328 37628 39264 52352 52992 56442 58896 70656 75256 78528 84663 104704 105984 112884 117792 150512 157056 169326 209408 211968 225768 235584 301024 314112 338652 418816 451536 471168 602048 628224 677304 903072 942336 1204096 1256448 1354608 1806144 1884672 2408192 2709216 3612288 3769344 4816384 5418432 7224576 9632768 10836864 14449152 21673728 28898304 43347456 86694912