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712291296 = 253171074079
BaseRepresentation
bin101010011101001…
…011001111100000
31211122022010222010
4222131023033200
52424321310141
6154402512520
723436243003
oct5235131740
91748263863
10712291296
11336084aa2
1217a665740
13b4753b52
146a85753a
15427ee416
hex2a74b3e0

712291296 has 96 divisors (see below), whose sum is σ = 1998743040. Its totient is φ = 221321216.

The previous prime is 712291267. The next prime is 712291339. The reversal of 712291296 is 692192217.

712291296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172585 + ... + 176663.

It is an arithmetic number, because the mean of its divisors is an integer number (20820240).

Almost surely, 2712291296 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 712291296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999371520).

712291296 is an abundant number, since it is smaller than the sum of its proper divisors (1286451744).

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

712291296 is a wasteful number, since it uses less digits than its factorization.

712291296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4208 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 712291296 is about 26688.7859596498. The cubic root of 712291296 is about 893.0707780180.

The spelling of 712291296 in words is "seven hundred twelve million, two hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 107 136 204 214 272 321 408 428 544 642 816 856 1284 1632 1712 1819 2568 3424 3638 4079 5136 5457 7276 8158 10272 10914 12237 14552 16316 21828 24474 29104 32632 43656 48948 58208 65264 69343 87312 97896 130528 138686 174624 195792 208029 277372 391584 416058 436453 554744 832116 872906 1109488 1309359 1664232 1745812 2218976 2618718 3328464 3491624 5237436 6656928 6983248 7419701 10474872 13966496 14839402 20949744 22259103 29678804 41899488 44518206 59357608 89036412 118715216 178072824 237430432 356145648 712291296