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782044013 = 17103344533
BaseRepresentation
bin101110100111010…
…000101101101101
32000111112221201002
4232213100231231
53100200402023
6205333530045
725244156462
oct5647205555
92014487632
10782044013
11371497273
12199aa3925
13c6036c4a
1475c13669
15489cbb28
hex2e9d0b6d

782044013 has 8 divisors (see below), whose sum is σ = 828866808. Its totient is φ = 735312384.

The previous prime is 782044001. The next prime is 782044031. The reversal of 782044013 is 310440287.

It can be written as a sum of positive squares in 4 ways, for example, as 463885444 + 318158569 = 21538^2 + 17837^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 782044013 - 226 = 714935149 is a prime.

It is a super-2 number, since 2×7820440132 = 1223185676538288338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782044213) 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 7 ways as a sum of consecutive naturals, for example, 4706 + ... + 39827.

It is an arithmetic number, because the mean of its divisors is an integer number (103608351).

Almost surely, 2782044013 is an apocalyptic number.

It is an amenable number.

782044013 is a deficient number, since it is larger than the sum of its proper divisors (46822795).

782044013 is a wasteful number, since it uses less digits than its factorization.

782044013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45583.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 782044013 is about 27965.0498479799. The cubic root of 782044013 is about 921.3197870309.

The spelling of 782044013 in words is "seven hundred eighty-two million, forty-four thousand, thirteen".

Divisors: 1 17 1033 17561 44533 757061 46002589 782044013