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726632868 = 2231323319991
BaseRepresentation
bin101011010011111…
…000100110100100
31212122021202220110
4223103320212210
52442004222433
6200034133020
724002164113
oct5323704644
91778252813
10726632868
11343190035
12183421170
13b77058a0
146c70bc7a
1543bd3963
hex2b4f89a4

726632868 has 48 divisors (see below), whose sum is σ = 1833826176. Its totient is φ = 222608640.

The previous prime is 726632867. The next prime is 726632897. The reversal of 726632868 is 868236627.

It is a happy number.

726632868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (726632861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26353 + ... + 46343.

It is an arithmetic number, because the mean of its divisors is an integer number (38204712).

Almost surely, 2726632868 is an apocalyptic number.

726632868 is a gapful number since it is divisible by the number (78) 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 726632868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916913088).

726632868 is an abundant number, since it is smaller than the sum of its proper divisors (1107193308).

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

726632868 is a wasteful number, since it uses less digits than its factorization.

726632868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244 (or 20242 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 726632868 is about 26956.1285796013. The cubic root of 726632868 is about 899.0248153364.

The spelling of 726632868 in words is "seven hundred twenty-six million, six hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 6058 9087 12116 18174 19991 36348 39982 59973 79964 119946 239892 259883 519766 779649 1039532 1559298 3118596 4657903 9315806 13973709 18631612 27947418 55894836 60552739 121105478 181658217 242210956 363316434 726632868