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424928 = 2572271
BaseRepresentation
bin1100111101111100000
3210120220002
41213233200
5102044203
613035132
73416600
oct1475740
9716802
10424928
11270289
12185aa8
1311b54a
14b0c00
1585d88
hex67be0

424928 has 36 divisors (see below), whose sum is σ = 976752. Its totient is φ = 181440.

The previous prime is 424913. The next prime is 424939. The reversal of 424928 is 829424.

It is a self number, because there is not a number n which added to its sum of digits gives 424928.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1433 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2424928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376).

424928 is an abundant number, since it is smaller than the sum of its proper divisors (551824).

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

424928 is a wasteful number, since it uses less digits than its factorization.

424928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 424928 is about 651.8650167021. The cubic root of 424928 is about 75.1804838445.

Subtracting 424928 from its reverse (829424), we obtain a square (404496 = 6362).

The spelling of 424928 in words is "four hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 271 392 542 784 1084 1568 1897 2168 3794 4336 7588 8672 13279 15176 26558 30352 53116 60704 106232 212464 424928