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725443056 = 2432132771399
BaseRepresentation
bin101011001111010…
…110000111110000
31212120001022210100
4223033112013300
52441203134211
6155552432400
723656110222
oct5317260760
91776038710
10725443056
11342548118
12182b48700
13b73aa160
146c4bc412
1543a4b156
hex2b3d61f0

725443056 has 120 divisors (see below), whose sum is σ = 2195866400. Its totient is φ = 222248448.

The previous prime is 725443051. The next prime is 725443063. The reversal of 725443056 is 650344527.

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 725443056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725443051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517845 + ... + 519243.

Almost surely, 2725443056 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 725443056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097933200).

725443056 is an abundant number, since it is smaller than the sum of its proper divisors (1470423344).

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

725443056 is a wasteful number, since it uses less digits than its factorization.

725443056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 725443056 is about 26934.0501224751. The cubic root of 725443056 is about 898.5338498939.

The spelling of 725443056 in words is "seven hundred twenty-five million, four hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 277 312 468 554 624 831 936 1108 1399 1662 1872 2216 2493 2798 3324 3601 4197 4432 4986 5596 6648 7202 8394 9972 10803 11192 12591 13296 14404 16788 18187 19944 21606 22384 25182 28808 32409 33576 36374 39888 43212 50364 54561 57616 64818 67152 72748 86424 100728 109122 129636 145496 163683 172848 201456 218244 259272 290992 327366 387523 436488 518544 654732 775046 872976 1162569 1309464 1550092 2325138 2618928 3100184 3487707 4650276 5037799 6200368 6975414 9300552 10075598 13950828 15113397 18601104 20151196 27901656 30226794 40302392 45340191 55803312 60453588 80604784 90680382 120907176 181360764 241814352 362721528 725443056