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725072460 = 223571726363
BaseRepresentation
bin101011001101111…
…011101001001100
31212112100111102120
4223031323221030
52441104304320
6155540452540
723653004610
oct5315735114
91775314376
10725072460
11342314742
121829aa150
13b72aa578
146c423340
15439c6440
hex2b37ba4c

725072460 has 48 divisors (see below), whose sum is σ = 2320233216. Its totient is φ = 165730752.

The previous prime is 725072443. The next prime is 725072473. The reversal of 725072460 is 64270527.

It is an unprimeable number.

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, 862762 + ... + 863601.

It is an arithmetic number, because the mean of its divisors is an integer number (48338192).

Almost surely, 2725072460 is an apocalyptic number.

725072460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

725072460 is an abundant number, since it is smaller than the sum of its proper divisors (1595160756).

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

725072460 is a wasteful number, since it uses less digits than its factorization.

725072460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726382 (or 1726380 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 725072460 is about 26927.1695504745. The cubic root of 725072460 is about 898.3808170828.

The spelling of 725072460 in words is "seven hundred twenty-five million, seventy-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1726363 3452726 5179089 6905452 8631815 10358178 12084541 17263630 20716356 24169082 25895445 34527260 36253623 48338164 51790890 60422705 72507246 103581780 120845410 145014492 181268115 241690820 362536230 725072460