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427931 = 7113541
BaseRepresentation
bin1101000011110011011
3210202000022
41220132123
5102143211
613101055
73431420
oct1503633
9722008
10427931
11272569
1218778b
1311ca1a
14b1d47
1586bdb
hex6879b

427931 has 8 divisors (see below), whose sum is σ = 494304. Its totient is φ = 362880.

The previous prime is 427919. The next prime is 427939. The reversal of 427931 is 139724.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-427931 is a prime.

It is a super-2 number, since 2×4279312 = 366249881522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 427931.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (61788).

2427931 is an apocalyptic number.

427931 is a deficient number, since it is larger than the sum of its proper divisors (66373).

427931 is a wasteful number, since it uses less digits than its factorization.

427931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its digits is 1512, while the sum is 26.

The square root of 427931 is about 654.1643524375. The cubic root of 427931 is about 75.3571704311.

The spelling of 427931 in words is "four hundred twenty-seven thousand, nine hundred thirty-one".

Divisors: 1 7 113 541 791 3787 61133 427931