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726125036 = 227135933811
BaseRepresentation
bin101011010001111…
…100100111101100
31212121022222021212
4223101330213230
52441342000121
6200015213552
723664650420
oct5321744754
91777288255
10726125036
1134297353a
121832172b8
13b75886b0
146c618b80
1543b3325b
hex2b47c9ec

726125036 has 48 divisors (see below), whose sum is σ = 1590516480. Its totient is φ = 282381120.

The previous prime is 726125011. The next prime is 726125039. The reversal of 726125036 is 630521627.

It is a junction number, because it is equal to n+sod(n) for n = 726124993 and 726125011.

It is not an unprimeable number, because it can be changed into a prime (726125039) 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 15 ways as a sum of consecutive naturals, for example, 4571 + ... + 38381.

It is an arithmetic number, because the mean of its divisors is an integer number (33135760).

Almost surely, 2726125036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726125036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795258240).

726125036 is an abundant number, since it is smaller than the sum of its proper divisors (864391444).

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

726125036 is a wasteful number, since it uses less digits than its factorization.

726125036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33894 (or 33892 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 726125036 is about 26946.7073313234. The cubic root of 726125036 is about 898.8153285420.

The spelling of 726125036 in words is "seven hundred twenty-six million, one hundred twenty-five thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 413 767 826 1534 1652 3068 5369 10738 21476 33811 67622 135244 236677 439543 473354 879086 946708 1758172 1994849 3076801 3989698 6153602 7979396 12307204 13963943 25933037 27927886 51866074 55855772 103732148 181531259 363062518 726125036