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725285080 = 235134134019
BaseRepresentation
bin101011001110101…
…111100011011000
31212112202022002101
4223032233203120
52441133110310
6155545213144
723654551522
oct5316574330
91775668071
10725285080
1134244a463
12182a911b4
13b7353290
146c47aa12
1543a1943a
hex2b3af8d8

725285080 has 64 divisors (see below), whose sum is σ = 1800338400. Its totient is φ = 261258240.

The previous prime is 725284993. The next prime is 725285087. The reversal of 725285080 is 80582527.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725285087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4311 + ... + 38329.

Almost surely, 2725285080 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 725285080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900169200).

725285080 is an abundant number, since it is smaller than the sum of its proper divisors (1075053320).

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

725285080 is a wasteful number, since it uses less digits than its factorization.

725285080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34084 (or 34080 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 725285080 is about 26931.1173180765. The cubic root of 725285080 is about 898.4686221285.

The spelling of 725285080 in words is "seven hundred twenty-five million, two hundred eighty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 34019 68038 136076 170095 272152 340190 442247 680380 884494 1360760 1394779 1768988 2211235 2789558 3537976 4422470 5579116 6973895 8844940 11158232 13947790 17689880 18132127 27895580 36264254 55791160 72528508 90660635 145057016 181321270 362642540 725285080