Search a number
-
+
725263104 = 2833141743
BaseRepresentation
bin101011001110101…
…010001100000000
31212112201011221110
4223032222030000
52441131404404
6155544523320
723654430456
oct5316521400
91775634843
10725263104
113424349a5
12182a80540
13b7346287
146c4729d6
1543a12b89
hex2b3aa300

725263104 has 144 divisors (see below), whose sum is σ = 2043869184. Its totient is φ = 227942400.

The previous prime is 725263093. The next prime is 725263127. The reversal of 725263104 is 401362527.

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, 975757 + ... + 976499.

It is an arithmetic number, because the mean of its divisors is an integer number (14193536).

Almost surely, 2725263104 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 725263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021934592).

725263104 is an abundant number, since it is smaller than the sum of its proper divisors (1318606080).

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

725263104 is a wasteful number, since it uses less digits than its factorization.

725263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 725263104 is about 26930.7093111192. The cubic root of 725263104 is about 898.4595475607.

The spelling of 725263104 in words is "seven hundred twenty-five million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 256 328 372 384 492 496 656 743 744 768 984 992 1271 1312 1486 1488 1968 1984 2229 2542 2624 2972 2976 3813 3936 3968 4458 5084 5248 5944 5952 7626 7872 7936 8916 10168 10496 11888 11904 15252 15744 17832 20336 23033 23776 23808 30463 30504 31488 35664 40672 46066 47552 60926 61008 69099 71328 81344 91389 92132 95104 121852 122016 138198 142656 162688 182778 184264 190208 243704 244032 276396 285312 325376 365556 368528 487408 488064 552792 570624 731112 737056 944353 974816 976128 1105584 1462224 1474112 1888706 1949632 2211168 2833059 2924448 2948224 3777412 3899264 4422336 5666118 5848896 5896448 7554824 7798528 8844672 11332236 11697792 15109648 17689344 22664472 23395584 30219296 45328944 60438592 90657888 120877184 181315776 241754368 362631552 725263104