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86854912 = 281572161
BaseRepresentation
bin1010010110101…
…00110100000000
320001102200112121
411023110310000
5134213324122
612341334024
72103153214
oct513246400
9201380477
1086854912
1145033421
1225107314
1314cc0551
14b76c944
157959bc7
hex52d4d00

86854912 has 36 divisors (see below), whose sum is σ = 174555556. Its totient is φ = 43130880.

The previous prime is 86854907. The next prime is 86854927. The reversal of 86854912 is 21945868.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39740416 + 47114496 = 6304^2 + 6864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39112 + ... + 41272.

Almost surely, 286854912 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 86854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87277778).

86854912 is an abundant number, since it is smaller than the sum of its proper divisors (87700644).

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

86854912 is a wasteful number, since it uses less digits than its factorization.

86854912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2320 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 86854912 is about 9319.5982746039. The cubic root of 86854912 is about 442.8583064040.

The spelling of 86854912 in words is "eighty-six million, eight hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1256 2161 2512 4322 5024 8644 10048 17288 20096 34576 40192 69152 138304 276608 339277 553216 678554 1357108 2714216 5428432 10856864 21713728 43427456 86854912