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427962 = 2371327
BaseRepresentation
bin1101000011110111010
3210202001110
41220132322
5102143322
613101150
73431463
oct1503672
9722043
10427962
11272597
121877b6
1311ca42
14b1d6a
1586c0c
hex687ba

427962 has 8 divisors (see below), whose sum is σ = 855936. Its totient is φ = 142652.

The previous prime is 427957. The next prime is 427967. The reversal of 427962 is 269724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427957) and next prime (427967).

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

427962 is an admirable number.

It is a d-powerful number, because it can be written as 47 + 29 + 9 + 72 + 67 + 217 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427962.

It is not an unprimeable number, because it can be changed into a prime (427967) by changing a digit.

427962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 35658 + ... + 35669.

It is an arithmetic number, because the mean of its divisors is an integer number (106992).

2427962 is an apocalyptic number.

427962 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

427962 is a wasteful number, since it uses less digits than its factorization.

427962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71332.

The product of its digits is 6048, while the sum is 30.

The square root of 427962 is about 654.1880463598. The cubic root of 427962 is about 75.3589900514.

It can be divided in two parts, 4 and 27962, that added together give a triangular number (27966 = T236).

The spelling of 427962 in words is "four hundred twenty-seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 71327 142654 213981 427962