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807914112 = 2737129633
BaseRepresentation
bin110000001001111…
…100101010000000
32002022020021210220
4300021330222000
53123311222422
6212100223040
726010104505
oct6011745200
92068207726
10807914112
11385056915
121a669aa80
13cb4c41b5
14794294ac
154addbe5c
hex3027ca80

807914112 has 64 divisors (see below), whose sum is σ = 2176320960. Its totient is φ = 265502720.

The previous prime is 807914099. The next prime is 807914209. The reversal of 807914112 is 211419708.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12448 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (34005015).

Almost surely, 2807914112 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 807914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088160480).

807914112 is an abundant number, since it is smaller than the sum of its proper divisors (1368406848).

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

807914112 is a wasteful number, since it uses less digits than its factorization.

807914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29721 (or 29709 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 807914112 is about 28423.8300023062. The cubic root of 807914112 is about 931.3688986395.

The spelling of 807914112 in words is "eight hundred seven million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 29633 59266 88899 118532 177798 237064 355596 474128 711192 948256 1422384 1896512 2103943 2844768 3793024 4207886 5689536 6311829 8415772 11379072 12623658 16831544 25247316 33663088 50494632 67326176 100989264 134652352 201978528 269304704 403957056 807914112