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713242656 = 25327499709
BaseRepresentation
bin101010100000110…
…011100000100000
31211201002110222200
4222200303200200
52430042231111
6154435133200
723450314440
oct5240634040
91751073880
10713242656
11336674845
1217aa44200
13b49c7b99
146aa24120
154293b256
hex2a833820

713242656 has 144 divisors (see below), whose sum is σ = 2325960000. Its totient is φ = 203088384.

The previous prime is 713242609. The next prime is 713242693. The reversal of 713242656 is 656242317.

713242656 is a `hidden beast` number, since 71 + 324 + 265 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 713242656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005630 + ... + 1006338.

It is an arithmetic number, because the mean of its divisors is an integer number (16152500).

Almost surely, 2713242656 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 713242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162980000).

713242656 is an abundant number, since it is smaller than the sum of its proper divisors (1612717344).

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

713242656 is a wasteful number, since it uses less digits than its factorization.

713242656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1220 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 713242656 is about 26706.6032284153. The cubic root of 713242656 is about 893.4682061653.

The spelling of 713242656 in words is "seven hundred thirteen million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 499 504 672 709 998 1008 1418 1497 1996 2016 2127 2836 2994 3493 3992 4254 4491 4963 5672 5988 6381 6986 7984 8508 8982 9926 10479 11344 11976 12762 13972 14889 15968 17016 17964 19852 20958 22688 23952 25524 27944 29778 31437 34032 35928 39704 41916 44667 47904 51048 55888 59556 62874 68064 71856 79408 83832 89334 102096 111776 119112 125748 143712 158816 167664 178668 204192 238224 251496 335328 353791 357336 476448 502992 707582 714672 1005984 1061373 1415164 1429344 2122746 2476537 2830328 3184119 4245492 4953074 5660656 6368238 7429611 8490984 9906148 11321312 12736476 14859222 16981968 19812296 22288833 25472952 29718444 33963936 39624592 44577666 50945904 59436888 79249184 89155332 101891808 118873776 178310664 237747552 356621328 713242656