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725260000 = 255436263
BaseRepresentation
bin101011001110101…
…001011011100000
31212112201000200111
4223032221123200
52441131310000
6155544501104
723654415433
oct5316513340
91775630614
10725260000
11342432633
12182a7a794
13b7344a3a
146c47181a
1543a11cba
hex2b3a96e0

725260000 has 60 divisors (see below), whose sum is σ = 1784297592. Its totient is φ = 290096000.

The previous prime is 725259971. The next prime is 725260009. The reversal of 725260000 is 62527.

725260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725260009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1869 + ... + 38131.

Almost surely, 2725260000 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 725260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892148796).

725260000 is an abundant number, since it is smaller than the sum of its proper divisors (1059037592).

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

725260000 is an equidigital number, since it uses as much as digits as its factorization.

725260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36293 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 725260000 is about 26930.6516816805. The cubic root of 725260000 is about 898.4582658086.

The spelling of 725260000 in words is "seven hundred twenty-five million, two hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 36263 72526 145052 181315 290104 362630 580208 725260 906575 1160416 1450520 1813150 2901040 3626300 4532875 5802080 7252600 9065750 14505200 18131500 22664375 29010400 36263000 45328750 72526000 90657500 145052000 181315000 362630000 725260000