Search a number
-
+
712725728 = 251113211981
BaseRepresentation
bin101010011110110…
…101010011100000
31211200010012220012
4222132311103200
52424424210403
6154420104052
723443032401
oct5236652340
91750105805
10712725728
11336351430
1217a835028
13b4876800
146a92b9a8
1542887ed8
hex2a7b54e0

712725728 has 72 divisors (see below), whose sum is σ = 1657685736. Its totient is φ = 299020800.

The previous prime is 712725703. The next prime is 712725733. The reversal of 712725728 is 827527217.

712725728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53498 + ... + 65478.

It is an arithmetic number, because the mean of its divisors is an integer number (23023413).

Almost surely, 2712725728 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 712725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828842868).

712725728 is an abundant number, since it is smaller than the sum of its proper divisors (944960008).

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

712725728 is a wasteful number, since it uses less digits than its factorization.

712725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12007 counting only the distinct ones).

The product of its digits is 109760, while the sum is 41.

The square root of 712725728 is about 26696.9235680818. The cubic root of 712725728 is about 893.2523047221.

The spelling of 712725728 in words is "seven hundred twelve million, seven hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4576 5408 7436 11981 14872 23962 29744 47924 59488 95848 131791 155753 191696 263582 311506 383392 527164 623012 1054328 1246024 1713283 2024789 2108656 2492048 3426566 4049578 4217312 4984096 6853132 8099156 13706264 16198312 22272679 27412528 32396624 44545358 54825056 64793248 89090716 178181432 356362864 712725728