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429687117 = 32433110261
BaseRepresentation
bin11001100111001…
…000000101001101
31002221112100220200
4121213020011031
51334444441432
6110345404113
713435165056
oct3147100515
91087470820
10429687117
11200602322
12bba99639
136b037042
14410d172d
1527ac9a7c
hex199c814d

429687117 has 12 divisors (see below), whose sum is σ = 622098204. Its totient is φ = 285793920.

The previous prime is 429687079. The next prime is 429687119. The reversal of 429687117 is 711786924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132848676 + 296838441 = 11526^2 + 17229^2 .

It is not a de Polignac number, because 429687117 - 212 = 429683021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429687119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51234 + ... + 59027.

It is an arithmetic number, because the mean of its divisors is an integer number (51841517).

Almost surely, 2429687117 is an apocalyptic number.

It is an amenable number.

429687117 is a deficient number, since it is larger than the sum of its proper divisors (192411087).

429687117 is a wasteful number, since it uses less digits than its factorization.

429687117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110700 (or 110697 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 429687117 is about 20728.8957014116. The cubic root of 429687117 is about 754.6011178962.

The spelling of 429687117 in words is "four hundred twenty-nine million, six hundred eighty-seven thousand, one hundred seventeen".

Divisors: 1 3 9 433 1299 3897 110261 330783 992349 47743013 143229039 429687117