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428142 = 231113499
BaseRepresentation
bin1101000100001101110
3210202022010
41220201232
5102200032
613102050
73432141
oct1504156
9722263
10428142
11272740
12187926
1311cb50
14b2058
1586ccc
hex6886e

428142 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 119520.

The previous prime is 428137. The next prime is 428143. The reversal of 428142 is 241824.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428142.

It is not an unprimeable number, because it can be changed into a prime (428143) by changing a digit.

428142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2428142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

428142 is an abundant number, since it is smaller than the sum of its proper divisors (579858).

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

428142 is a wasteful number, since it uses less digits than its factorization.

428142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its digits is 512, while the sum is 21.

The square root of 428142 is about 654.3256070184. The cubic root of 428142 is about 75.3695538530.

Adding to 428142 its reverse (241824), we get a palindrome (669966).

The spelling of 428142 in words is "four hundred twenty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 499 858 998 1497 2994 5489 6487 10978 12974 16467 19461 32934 38922 71357 142714 214071 428142