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726440631 = 3725393241
BaseRepresentation
bin101011010011001…
…001101010110111
31212121221000012120
4223103021222313
52441432100011
6200030051023
724000433500
oct5323115267
91777830176
10726440631
11343069664
12183349a73
13b7669237
146c69bba7
1543b96a06
hex2b4c9ab7

726440631 has 24 divisors (see below), whose sum is σ = 1147995504. Its totient is φ = 407272320.

The previous prime is 726440597. The next prime is 726440641. The reversal of 726440631 is 136044627.

It is a happy number.

It is not a de Polignac number, because 726440631 - 26 = 726440567 is a prime.

It is a super-2 number, since 2×7264406312 = 1055431980735356322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726440592 and 726440601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726440641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38830 + ... + 54411.

It is an arithmetic number, because the mean of its divisors is an integer number (47833146).

Almost surely, 2726440631 is an apocalyptic number.

726440631 is a deficient number, since it is larger than the sum of its proper divisors (421554873).

726440631 is a wasteful number, since it uses less digits than its factorization.

726440631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93311 (or 93304 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 726440631 is about 26952.5626054370. The cubic root of 726440631 is about 898.9455267511.

It can be divided in two parts, 7264 and 40631, that added together give a triangular number (47895 = T309).

The spelling of 726440631 in words is "seven hundred twenty-six million, four hundred forty thousand, six hundred thirty-one".

Divisors: 1 3 7 21 49 53 147 159 371 1113 2597 7791 93241 279723 652687 1958061 4568809 4941773 13706427 14825319 34592411 103777233 242146877 726440631