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427504 = 24711347
BaseRepresentation
bin1101000010111110000
3210201102111
41220113300
5102140004
613055104
73430240
oct1502760
9721374
10427504
11272210
12187494
1311c77c
14b1b20
1586a04
hex685f0

427504 has 40 divisors (see below), whose sum is σ = 1035648. Its totient is φ = 166080.

The previous prime is 427477. The next prime is 427513. The reversal of 427504 is 405724.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

427504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1405.

2427504 is an apocalyptic number.

427504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824).

427504 is an abundant number, since it is smaller than the sum of its proper divisors (608144).

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

427504 is a wasteful number, since it uses less digits than its factorization.

427504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 427504 is about 653.8379004004. The cubic root of 427504 is about 75.3320976816.

The spelling of 427504 in words is "four hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 347 616 694 1232 1388 2429 2776 3817 4858 5552 7634 9716 15268 19432 26719 30536 38864 53438 61072 106876 213752 427504