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427842 = 23419139
BaseRepresentation
bin1101000011101000010
3210201220000
41220131002
5102142332
613100430
73431232
oct1503502
9721800
10427842
11272498
12187716
1311c97c
14b1cc2
1586b7c
hex68742

427842 has 40 divisors (see below), whose sum is σ = 1016400. Its totient is φ = 134136.

The previous prime is 427813. The next prime is 427849. The reversal of 427842 is 248724.

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

It is not an unprimeable number, because it can be changed into a prime (427849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3009 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2427842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508200).

427842 is an abundant number, since it is smaller than the sum of its proper divisors (588558).

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

427842 is a wasteful number, since it uses less digits than its factorization.

427842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 427842 is about 654.0963231818. The cubic root of 427842 is about 75.3519458714.

The spelling of 427842 in words is "four hundred twenty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 139 162 171 278 342 417 513 834 1026 1251 1539 2502 2641 3078 3753 5282 7506 7923 11259 15846 22518 23769 47538 71307 142614 213921 427842