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421983 = 3315629
BaseRepresentation
bin1100111000001011111
3210102212000
41213001133
5102000413
613013343
73405162
oct1470137
9712760
10421983
11269051
12184253
1311a0c3
14adad9
1585073
hex6705f

421983 has 8 divisors (see below), whose sum is σ = 625200. Its totient is φ = 281304.

The previous prime is 421973. The next prime is 421987. The reversal of 421983 is 389124.

421983 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 421983 - 28 = 421727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15629 = 421983 / (4 + 2 + 1 + 9 + 8 + 3).

421983 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421987) 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, 7788 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (78150).

2421983 is an apocalyptic number.

421983 is a deficient number, since it is larger than the sum of its proper divisors (203217).

421983 is a wasteful number, since it uses less digits than its factorization.

421983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15638 (or 15632 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 421983 is about 649.6021859569. The cubic root of 421983 is about 75.0063994539.

It can be divided in two parts, 42 and 1983, that added together give a square (2025 = 452).

The spelling of 421983 in words is "four hundred twenty-one thousand, nine hundred eighty-three".

Divisors: 1 3 9 27 15629 46887 140661 421983