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725728896 = 273469997
BaseRepresentation
bin101011010000011…
…011111010000000
31212120120211220000
4223100123322000
52441241311041
6200002520000
723661410454
oct5320337200
91776524800
10725728896
11342722952
12183066000
13b747a2a9
146c554664
1543aa5bb6
hex2b41be80

725728896 has 80 divisors (see below), whose sum is σ = 2159788290. Its totient is φ = 241906176.

The previous prime is 725728831. The next prime is 725728907. The reversal of 725728896 is 698827527.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 507871296 + 217857600 = 22536^2 + 14760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24631 + ... + 45366.

Almost surely, 2725728896 is an apocalyptic number.

It is an amenable number.

725728896 is an abundant number, since it is smaller than the sum of its proper divisors (1434059394).

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

725728896 is an equidigital number, since it uses as much as digits as its factorization.

725728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70023 (or 70002 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 725728896 is about 26939.3558943045. The cubic root of 725728896 is about 898.6518482159.

The spelling of 725728896 in words is "seven hundred twenty-five million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 69997 139994 209991 279988 419982 559976 629973 839964 1119952 1259946 1679928 1889919 2239904 2519892 3359856 3779838 4479808 5039784 5669757 6719712 7559676 8959616 10079568 11339514 13439424 15119352 20159136 22679028 26878848 30238704 40318272 45358056 60477408 80636544 90716112 120954816 181432224 241909632 362864448 725728896