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428144 = 2426759
BaseRepresentation
bin1101000100001110000
3210202022012
41220201300
5102200034
613102052
73432143
oct1504160
9722265
10428144
11272742
12187928
1311cb52
14b205a
1586cce
hex68870

428144 has 10 divisors (see below), whose sum is σ = 829560. Its totient is φ = 214064.

The previous prime is 428143. The next prime is 428147. The reversal of 428144 is 441824.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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 428144.

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

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 as a sum of consecutive naturals, namely, 13364 + ... + 13395.

It is an arithmetic number, because the mean of its divisors is an integer number (82956).

2428144 is an apocalyptic number.

It is an amenable number.

428144 is a deficient number, since it is larger than the sum of its proper divisors (401416).

428144 is a wasteful number, since it uses less digits than its factorization.

428144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26767 (or 26761 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 428144 is about 654.3271353077. The cubic root of 428144 is about 75.3696712119.

Adding to 428144 its reverse (441824), we get a palindrome (869968).

The spelling of 428144 in words is "four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 26759 53518 107036 214072 428144