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726053472 = 25322521019
BaseRepresentation
bin101011010001101…
…011001001100000
31212121012100010100
4223101223021200
52441332202342
6200013502400
723664231654
oct5321531140
91777170110
10726053472
113429247a1
121831a1a00
13b7561c51
146c5daa64
1543b1be4c
hex2b46b260

726053472 has 36 divisors (see below), whose sum is σ = 2064715380. Its totient is φ = 242017728.

The previous prime is 726053467. The next prime is 726053491. The reversal of 726053472 is 274350627.

It is a happy number.

726053472 is a `hidden beast` number, since 7 + 2 + 605 + 3 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1260222 + ... + 1260797.

It is an arithmetic number, because the mean of its divisors is an integer number (57353205).

Almost surely, 2726053472 is an apocalyptic number.

726053472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

726053472 is an abundant number, since it is smaller than the sum of its proper divisors (1338661908).

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

726053472 is a wasteful number, since it uses less digits than its factorization.

726053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521035 (or 2521024 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 726053472 is about 26945.3794183715. The cubic root of 726053472 is about 898.7857996821.

The spelling of 726053472 in words is "seven hundred twenty-six million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2521019 5042038 7563057 10084076 15126114 20168152 22689171 30252228 40336304 45378342 60504456 80672608 90756684 121008912 181513368 242017824 363026736 726053472