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725360832 = 263672221
BaseRepresentation
bin101011001111000…
…010000011000000
31212112220011000000
4223033002003000
52441143021312
6155551000000
723655315420
oct5317020300
91775804000
10725360832
113424a1369
12182b09000
13b737b8c1
146c49a480
1543a31adc
hex2b3c20c0

725360832 has 196 divisors, whose sum is σ = 2467504336. Its totient is φ = 207152640.

The previous prime is 725360813. The next prime is 725360843. The reversal of 725360832 is 238063527.

It is a super-2 number, since 2×7253608322 = 1052296673199464448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 325482 + ... + 327702.

Almost surely, 2725360832 is an apocalyptic number.

725360832 is a gapful number since it is divisible by the number (72) 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 725360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233752168).

725360832 is an abundant number, since it is smaller than the sum of its proper divisors (1742143504).

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

725360832 is an equidigital number, since it uses as much as digits as its factorization.

725360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 725360832 is about 26932.5236842001. The cubic root of 725360832 is about 898.4999010594.

The spelling of 725360832 in words is "seven hundred twenty-five million, three hundred sixty thousand, eight hundred thirty-two".