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407832813 = 345034973
BaseRepresentation
bin11000010011110…
…000100011101101
31001102102001110000
4120103300203231
51313401122223
6104245134513
713051343643
oct3023604355
91042361400
10407832813
1119a235913
12b46ba439
13666548bb
143c243193
1525c0e543
hex184f08ed

407832813 has 10 divisors (see below), whose sum is σ = 609231854. Its totient is φ = 271888488.

The previous prime is 407832809. The next prime is 407832847. The reversal of 407832813 is 318238704.

It can be written as a sum of positive squares in only one way, i.e., 387420489 + 20412324 = 19683^2 + 4518^2 .

It is not a de Polignac number, because 407832813 - 22 = 407832809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407832883) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2517406 + ... + 2517567.

Almost surely, 2407832813 is an apocalyptic number.

It is an amenable number.

407832813 is a deficient number, since it is larger than the sum of its proper divisors (201399041).

407832813 is an equidigital number, since it uses as much as digits as its factorization.

407832813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034985 (or 5034976 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 407832813 is about 20194.8709577457. The cubic root of 407832813 is about 741.5846326190.

The spelling of 407832813 in words is "four hundred seven million, eight hundred thirty-two thousand, eight hundred thirteen".

Divisors: 1 3 9 27 81 5034973 15104919 45314757 135944271 407832813