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725225088 = 2737238543
BaseRepresentation
bin101011001110100…
…000111010000000
31212112122020210110
4223032200322000
52441124200323
6155544031320
723654211600
oct5316407200
91775566713
10725225088
11342409385
12182a62540
13b7331b93
146c462c00
1543a06793
hex2b3a0e80

725225088 has 96 divisors (see below), whose sum is σ = 2240948160. Its totient is φ = 207201792.

The previous prime is 725225071. The next prime is 725225089. The reversal of 725225088 is 880522527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (725225089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 38087.

It is an arithmetic number, because the mean of its divisors is an integer number (23343210).

Almost surely, 2725225088 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 725225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120474080).

725225088 is an abundant number, since it is smaller than the sum of its proper divisors (1515723072).

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

725225088 is a wasteful number, since it uses less digits than its factorization.

725225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38574 (or 38555 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 725225088 is about 26930.0034905308. The cubic root of 725225088 is about 898.4438491496.

The spelling of 725225088 in words is "seven hundred twenty-five million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 38543 77086 115629 154172 231258 269801 308344 462516 539602 616688 809403 925032 1079204 1233376 1618806 1850064 1888607 2158408 2466752 3237612 3700128 3777214 4316816 4933504 5665821 6475224 7400256 7554428 8633632 11331642 12950448 14800512 15108856 17267264 22663284 25900896 30217712 34534528 45326568 51801792 60435424 90653136 103603584 120870848 181306272 241741696 362612544 725225088