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428116 = 22138233
BaseRepresentation
bin1101000100001010100
3210202021011
41220201110
5102144431
613102004
73432103
oct1504124
9722234
10428116
11272717
12187904
1311cb30
14b203a
1586cb1
hex68854

428116 has 12 divisors (see below), whose sum is σ = 806932. Its totient is φ = 197568.

The previous prime is 428093. The next prime is 428137. The reversal of 428116 is 611824.

428116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72900 + 355216 = 270^2 + 596^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

428116 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4065 + ... + 4168.

2428116 is an apocalyptic number.

It is an amenable number.

428116 is a deficient number, since it is larger than the sum of its proper divisors (378816).

428116 is a wasteful number, since it uses less digits than its factorization.

428116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8248 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 428116 is about 654.3057389325. The cubic root of 428116 is about 75.3680281535.

The spelling of 428116 in words is "four hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 8233 16466 32932 107029 214058 428116