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476442 = 23417173
BaseRepresentation
bin1110100010100011010
3220012120000
41310110122
5110221232
614113430
74023021
oct1642432
9805500
10476442
112a5a5a
121ab876
13138b25
14c58b8
159627c
hex7451a

476442 has 40 divisors (see below), whose sum is σ = 1136916. Its totient is φ = 148608.

The previous prime is 476429. The next prime is 476467. The reversal of 476442 is 244674.

It can be written as a sum of positive squares in 2 ways, for example, as 408321 + 68121 = 639^2 + 261^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476442.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2668 + ... + 2840.

2476442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568458).

476442 is an abundant number, since it is smaller than the sum of its proper divisors (660474).

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

476442 is a wasteful number, since it uses less digits than its factorization.

476442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 476442 is about 690.2477815973. The cubic root of 476442 is about 78.1034131292.

The spelling of 476442 in words is "four hundred seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 173 306 346 459 519 918 1038 1377 1557 2754 2941 3114 4671 5882 8823 9342 14013 17646 26469 28026 52938 79407 158814 238221 476442