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629088057 = 32139975393
BaseRepresentation
bin100101011111110…
…001111100111001
31121211201222120200
4211133301330321
52242021304212
6142231312413
721406105653
oct4537617471
91554658520
10629088057
112a3116194
1215681b709
13a0441770
145d7996d3
153a3666dc
hex257f1f39

629088057 has 24 divisors (see below), whose sum is σ = 979744584. Its totient is φ = 386671104.

The previous prime is 629088049. The next prime is 629088079. The reversal of 629088057 is 750880926.

It can be written as a sum of positive squares in 4 ways, for example, as 250240761 + 378847296 = 15819^2 + 19464^2 .

It is not a de Polignac number, because 629088057 - 23 = 629088049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (629088017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113953 + ... + 119345.

It is an arithmetic number, because the mean of its divisors is an integer number (40822691).

Almost surely, 2629088057 is an apocalyptic number.

It is an amenable number.

629088057 is a deficient number, since it is larger than the sum of its proper divisors (350656527).

629088057 is a wasteful number, since it uses less digits than its factorization.

629088057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 629088057 is about 25081.6278777913. The cubic root of 629088057 is about 856.8480514614.

The spelling of 629088057 in words is "six hundred twenty-nine million, eighty-eight thousand, fifty-seven".

Divisors: 1 3 9 13 39 117 997 2991 5393 8973 12961 16179 38883 48537 70109 116649 210327 630981 5376821 16130463 48391389 69898673 209696019 629088057