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427476 = 22372727
BaseRepresentation
bin1101000010111010100
3210201101110
41220113110
5102134401
613055020
73430200
oct1502724
9721343
10427476
11272195
12187470
1311c75a
14b1b00
15869d6
hex685d4

427476 has 36 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 121968.

The previous prime is 427457. The next prime is 427477. The reversal of 427476 is 674724.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427477) by changing a digit.

427476 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 11 ways as a sum of consecutive naturals, for example, 225 + ... + 951.

2427476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

427476 is an abundant number, since it is smaller than the sum of its proper divisors (734412).

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

427476 is a wasteful number, since it uses less digits than its factorization.

427476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 427476 is about 653.8164880148. The cubic root of 427476 is about 75.3304529837.

It can be divided in two parts, 427 and 476, that added together give a triangular number (903 = T42).

The spelling of 427476 in words is "four hundred twenty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 727 1454 2181 2908 4362 5089 8724 10178 15267 20356 30534 35623 61068 71246 106869 142492 213738 427476