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429627 = 31147277
BaseRepresentation
bin1101000111000111011
3210211100010
41220320323
5102222002
613113003
73436362
oct1507073
9724303
10429627
11273870
12188763
13120723
14b27d9
158746c
hex68e3b

429627 has 16 divisors (see below), whose sum is σ = 640512. Its totient is φ = 253920.

The previous prime is 429599. The next prime is 429631. The reversal of 429627 is 726924.

It is a happy number.

It is not a de Polignac number, because 429627 - 26 = 429563 is a prime.

429627 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 429594 and 429603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (40032).

2429627 is an apocalyptic number.

429627 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

429627 is a deficient number, since it is larger than the sum of its proper divisors (210885).

429627 is a wasteful number, since it uses less digits than its factorization.

429627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its digits is 6048, while the sum is 30.

The square root of 429627 is about 655.4593808925. The cubic root of 429627 is about 75.4565924481.

It can be divided in two parts, 42 and 9627, that added together give a palindrome (9669).

The spelling of 429627 in words is "four hundred twenty-nine thousand, six hundred twenty-seven".

Divisors: 1 3 11 33 47 141 277 517 831 1551 3047 9141 13019 39057 143209 429627