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427938 = 23723443
BaseRepresentation
bin1101000011110100010
3210202000120
41220132202
5102143223
613101110
73431430
oct1503642
9722016
10427938
11272575
12187796
1311ca24
14b1d50
1586be3
hex687a2

427938 has 32 divisors (see below), whose sum is σ = 1022976. Its totient is φ = 116688.

The previous prime is 427919. The next prime is 427939. The reversal of 427938 is 839724.

It is a junction number, because it is equal to n+sod(n) for n = 427899 and 427908.

It is not an unprimeable number, because it can be changed into a prime (427939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (31968).

2427938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511488).

427938 is an abundant number, since it is smaller than the sum of its proper divisors (595038).

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

427938 is a wasteful number, since it uses less digits than its factorization.

427938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its digits is 12096, while the sum is 33.

The square root of 427938 is about 654.1697027530. The cubic root of 427938 is about 75.3575813208.

The spelling of 427938 in words is "four hundred twenty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 443 483 886 966 1329 2658 3101 6202 9303 10189 18606 20378 30567 61134 71323 142646 213969 427938