Search a number
-
+
712773864 = 2333112313043
BaseRepresentation
bin101010011111000…
…001000011101000
31211200012122221000
4222133001003220
52424432230424
6154421115000
723443322625
oct5237010350
91750178830
10712773864
11336384610
1217a858a60
13b48926aa
146a94134c
15428973c9
hex2a7c10e8

712773864 has 128 divisors (see below), whose sum is σ = 2254003200. Its totient is φ = 206585280.

The previous prime is 712773851. The next prime is 712773937. The reversal of 712773864 is 468377217.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48127 + ... + 61169.

It is an arithmetic number, because the mean of its divisors is an integer number (17609400).

Almost surely, 2712773864 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 712773864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127001600).

712773864 is an abundant number, since it is smaller than the sum of its proper divisors (1541229336).

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

712773864 is a wasteful number, since it uses less digits than its factorization.

712773864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13082 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 712773864 is about 26697.8250799574. The cubic root of 712773864 is about 893.2724137315.

The spelling of 712773864 in words is "seven hundred twelve million, seven hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13043 13662 18216 26086 27324 39129 52172 54648 78258 104344 117387 143473 156516 234774 286946 299989 313032 352161 430419 469548 573892 599978 704322 860838 899967 939096 1147784 1199956 1291257 1408644 1721676 1799934 2399912 2582514 2699901 2817288 3299879 3443352 3599868 3873771 5165028 5399802 6599758 7199736 7747542 8099703 9899637 10330056 10799604 13199516 15495084 16199406 19799274 21599208 26399032 29698911 30990168 32398812 39598548 59397822 64797624 79197096 89096733 118795644 178193466 237591288 356386932 712773864