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713530944 = 263472532
BaseRepresentation
bin101010100001111…
…001111001000000
31211201122010110000
4222201321321000
52430130442234
6154445240000
723452625100
oct5241717100
91751563400
10713530944
113368513a5
1217ab63000
13b4a99179
146aa9b200
1542996899
hex2a879e40

713530944 has 315 divisors, whose sum is σ = 2507756097. Its totient is φ = 200019456.

The previous prime is 713530841. The next prime is 713530957. The reversal of 713530944 is 449035317.

The square root of 713530944 is 26712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 514382400 + 199148544 = 22680^2 + 14112^2 .

It is a super-2 number, since 2×7135309442 = 1018252816091062272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 713530899 and 713530908.

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 44 ways as a sum of consecutive naturals, for example, 13462822 + ... + 13462874.

Almost surely, 2713530944 is an apocalyptic number.

713530944 is the 26712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713530944

713530944 is an abundant number, since it is smaller than the sum of its proper divisors (1794225153).

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

713530944 is an equidigital number, since it uses as much as digits as its factorization.

713530944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 713530944 is about 893.5885679451.

Multiplying 713530944 by its sum of digits (36), we get a square (25687113984 = 1602722).

713530944 divided by its sum of digits (36) gives a square (19820304 = 44522).

The spelling of 713530944 in words is "seven hundred thirteen million, five hundred thirty thousand, nine hundred forty-four".