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429385 = 51137211
BaseRepresentation
bin1101000110101001001
3210211000011
41220311021
5102220020
613111521
73435565
oct1506511
9724004
10429385
11273670
121885a1
13120598
14b26a5
158735a
hex68d49

429385 has 16 divisors (see below), whose sum is σ = 580032. Its totient is φ = 302400.

The previous prime is 429367. The next prime is 429389. The reversal of 429385 is 583924.

It is not a de Polignac number, because 429385 - 29 = 428873 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 (429389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 2140.

It is an arithmetic number, because the mean of its divisors is an integer number (36252).

2429385 is an apocalyptic number.

It is an amenable number.

429385 is a deficient number, since it is larger than the sum of its proper divisors (150647).

429385 is a wasteful number, since it uses less digits than its factorization.

With its successor (429386) it forms an eRAP, since the sums of their prime factors are consecutive (264 and 265).

429385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 8640, while the sum is 31.

The square root of 429385 is about 655.2747515356. The cubic root of 429385 is about 75.4424220747.

The spelling of 429385 in words is "four hundred twenty-nine thousand, three hundred eighty-five".

Divisors: 1 5 11 37 55 185 211 407 1055 2035 2321 7807 11605 39035 85877 429385