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629131393 = 11217305849
BaseRepresentation
bin100101011111111…
…100100010000001
31121211211012000201
4211133330202001
52242024201033
6142232245201
721406346212
oct4537744201
91554735021
10629131393
112a3145800
12156840801
13a04583c7
145d7ab409
153a37447d
hex257fc881

629131393 has 12 divisors (see below), whose sum is σ = 732204900. Its totient is φ = 538292480.

The previous prime is 629131381. The next prime is 629131403. The reversal of 629131393 is 393131926.

629131393 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 2 ways, for example, as 284360769 + 344770624 = 16863^2 + 18568^2 .

It is a de Polignac number, because none of the positive numbers 2k-629131393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (629131343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150868 + ... + 154981.

It is an arithmetic number, because the mean of its divisors is an integer number (61017075).

Almost surely, 2629131393 is an apocalyptic number.

It is an amenable number.

629131393 is a deficient number, since it is larger than the sum of its proper divisors (103073507).

629131393 is a wasteful number, since it uses less digits than its factorization.

629131393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305888 (or 305877 counting only the distinct ones).

The product of its digits is 26244, while the sum is 37.

The square root of 629131393 is about 25082.4917621834. The cubic root of 629131393 is about 856.8677262452.

The spelling of 629131393 in words is "six hundred twenty-nine million, one hundred thirty-one thousand, three hundred ninety-three".

Divisors: 1 11 17 121 187 2057 305849 3364339 5199433 37007729 57193763 629131393