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725104332 = 2233171073691
BaseRepresentation
bin101011001110000…
…011011011001100
31212112102010011000
4223032003123030
52441111314312
6155541300300
723653166541
oct5316033314
91775363130
10725104332
11342336687
12182a04690
13b72bbc24
146c430bc8
15439d0adc
hex2b3836cc

725104332 has 96 divisors (see below), whose sum is σ = 2009629440. Its totient is φ = 225296640.

The previous prime is 725104321. The next prime is 725104337. The reversal of 725104332 is 233401527.

725104332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 725104296 and 725104305.

It is not an unprimeable number, because it can be changed into a prime (725104337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194607 + ... + 198297.

It is an arithmetic number, because the mean of its divisors is an integer number (20933640).

Almost surely, 2725104332 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 725104332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004814720).

725104332 is an abundant number, since it is smaller than the sum of its proper divisors (1284525108).

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

725104332 is a wasteful number, since it uses less digits than its factorization.

725104332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 725104332 is about 26927.7613625790. The cubic root of 725104332 is about 898.3939802609.

Adding to 725104332 its reverse (233401527), we get a palindrome (958505859).

The spelling of 725104332 in words is "seven hundred twenty-five million, one hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 107 108 153 204 214 306 321 428 459 612 642 918 963 1284 1819 1836 1926 2889 3638 3691 3852 5457 5778 7276 7382 10914 11073 11556 14764 16371 21828 22146 32742 33219 44292 49113 62747 65484 66438 98226 99657 125494 132876 188241 196452 199314 250988 376482 394937 398628 564723 752964 789874 1129446 1184811 1579748 1694169 2258892 2369622 3388338 3554433 4739244 6713929 6776676 7108866 10663299 13427858 14217732 20141787 21326598 26855716 40283574 42653196 60425361 80567148 120850722 181276083 241701444 362552166 725104332