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752681813 = 134111312497
BaseRepresentation
bin101100110111010…
…000001101010101
31221110022012100012
4230313100031111
53020141304223
6202404330005
724436455422
oct5467201525
91843265305
10752681813
11356961a94
121900a3905
13bcc26370
1471d6cd49
154612bc78
hex2cdd0355

752681813 has 16 divisors (see below), whose sum is σ = 837765936. Its totient is φ = 671784960.

The previous prime is 752681807. The next prime is 752681837. The reversal of 752681813 is 318186257.

752681813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 377019889 + 375661924 = 19417^2 + 19382^2 .

It is a cyclic number.

It is not a de Polignac number, because 752681813 - 28 = 752681557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752681213) 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, 53981 + ... + 66477.

It is an arithmetic number, because the mean of its divisors is an integer number (52360371).

Almost surely, 2752681813 is an apocalyptic number.

It is an amenable number.

752681813 is a deficient number, since it is larger than the sum of its proper divisors (85084123).

752681813 is a wasteful number, since it uses less digits than its factorization.

752681813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664.

The product of its digits is 80640, while the sum is 41.

The square root of 752681813 is about 27435.0471659883. The cubic root of 752681813 is about 909.6419365754.

The spelling of 752681813 in words is "seven hundred fifty-two million, six hundred eighty-one thousand, eight hundred thirteen".

Divisors: 1 13 41 113 533 1469 4633 12497 60229 162461 512377 1412161 6660901 18358093 57898601 752681813