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429066 = 232112197
BaseRepresentation
bin1101000110000001010
3210210120100
41220300022
5102212231
613110230
73434631
oct1506012
9723510
10429066
11273400
12188376
131203b1
14b2518
15871e6
hex68c0a

429066 has 36 divisors (see below), whose sum is σ = 1027026. Its totient is φ = 129360.

The previous prime is 429043. The next prime is 429083. The reversal of 429066 is 660924.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 184041 = 495^2 + 429^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2080 + ... + 2276.

2429066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513513).

429066 is an abundant number, since it is smaller than the sum of its proper divisors (597960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429066 is a wasteful number, since it uses less digits than its factorization.

429066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 429066 is about 655.0312969622. The cubic root of 429066 is about 75.4237348089.

It can be divided in two parts, 4290 and 66, that added together give a square (4356 = 662).

The spelling of 429066 in words is "four hundred twenty-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 197 198 242 363 394 591 726 1089 1182 1773 2167 2178 3546 4334 6501 13002 19503 23837 39006 47674 71511 143022 214533 429066