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725552240 = 24571923797
BaseRepresentation
bin101011001111110…
…000110001110000
31212120020212120012
4223033300301300
52441220132430
6155555034052
723660043440
oct5317606160
91776225505
10725552240
11342612156
12182b9b928
13b7417a6a
146c50a120
1543a6d695
hex2b3f0c70

725552240 has 240 divisors, whose sum is σ = 2111239872. Its totient is φ = 226934784.

The previous prime is 725552237. The next prime is 725552249. The reversal of 725552240 is 42255527.

725552240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 725552197 and 725552206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725552249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7479872 + ... + 7479968.

Almost surely, 2725552240 is an apocalyptic number.

725552240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055619936).

725552240 is an abundant number, since it is smaller than the sum of its proper divisors (1385687632).

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

725552240 is a wasteful number, since it uses less digits than its factorization.

725552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 725552240 is about 26936.0769229671. The cubic root of 725552240 is about 898.5789260707.

It can be divided in two parts, 7255 and 52240, that added together give a palindrome (59495).

The spelling of 725552240 in words is "seven hundred twenty-five million, five hundred fifty-two thousand, two hundred forty".