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725217376 = 25134673733
BaseRepresentation
bin101011001110011…
…111000001100000
31212112121212012211
4223032133001200
52441123424001
6155543531504
723654150242
oct5316370140
91775555184
10725217376
11342403604
12182a59b94
13b732b510
146c460092
1543a04351
hex2b39f060

725217376 has 48 divisors (see below), whose sum is σ = 1541305584. Its totient is φ = 333909504.

The previous prime is 725217343. The next prime is 725217377. The reversal of 725217376 is 673712527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725217377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192406 + ... + 196138.

It is an arithmetic number, because the mean of its divisors is an integer number (32110533).

Almost surely, 2725217376 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 725217376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770652792).

725217376 is an abundant number, since it is smaller than the sum of its proper divisors (816088208).

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

725217376 is a wasteful number, since it uses less digits than its factorization.

725217376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4215 counting only the distinct ones).

The product of its digits is 123480, while the sum is 40.

The square root of 725217376 is about 26929.8603041308. The cubic root of 725217376 is about 898.4406644724.

It can be divided in two parts, 7252173 and 76, that added together give a square (7252249 = 26932).

The spelling of 725217376 in words is "seven hundred twenty-five million, two hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 467 934 1868 3733 3736 6071 7466 7472 12142 14932 14944 24284 29864 48529 48568 59728 97058 97136 119456 194116 194272 388232 776464 1552928 1743311 3486622 6973244 13946488 22663043 27892976 45326086 55785952 90652172 181304344 362608688 725217376