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427986 = 232133159
BaseRepresentation
bin1101000011111010010
3210202002100
41220133102
5102143421
613101230
73431526
oct1503722
9722070
10427986
11272609
12187816
1311ca60
14b1d86
1586c26
hex687d2

427986 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 125280.

The previous prime is 427969. The next prime is 427991. The reversal of 427986 is 689724.

Its product of digits (24192) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 427986.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7225 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2427986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

427986 is an abundant number, since it is smaller than the sum of its proper divisors (620334).

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

427986 is a wasteful number, since it uses less digits than its factorization.

427986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 108 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 427986 is about 654.2063894521. The cubic root of 427986 is about 75.3603987294.

The spelling of 427986 in words is "four hundred twenty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 59 62 78 93 117 118 177 186 234 279 354 403 531 558 767 806 1062 1209 1534 1829 2301 2418 3627 3658 4602 5487 6903 7254 10974 13806 16461 23777 32922 47554 71331 142662 213993 427986