Search a number
-
+
725706496 = 2822912379
BaseRepresentation
bin101011010000010…
…110011100000000
31212120112201011101
4223100112130000
52441240101441
6200002224144
723661255244
oct5320263400
91776481141
10725706496
11342708039
12183055054
13b7470038
146c54a424
1543a9e231
hex2b416700

725706496 has 36 divisors (see below), whose sum is σ = 1455021400. Its totient is φ = 361239552.

The previous prime is 725706491. The next prime is 725706503. The reversal of 725706496 is 694607527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725706491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52435 + ... + 64813.

Almost surely, 2725706496 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 725706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727510700).

725706496 is an abundant number, since it is smaller than the sum of its proper divisors (729314904).

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

725706496 is a wasteful number, since it uses less digits than its factorization.

725706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 725706496 is about 26938.9401424778. The cubic root of 725706496 is about 898.6426023351.

The spelling of 725706496 in words is "seven hundred twenty-five million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3664 7328 12379 14656 24758 29312 49516 58624 99032 198064 396128 792256 1584512 2834791 3169024 5669582 11339164 22678328 45356656 90713312 181426624 362853248 725706496