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1928928 = 25371283
BaseRepresentation
bin111010110111011100000
310121222222210
413112323200
5443211203
6105202120
722252461
oct7267340
93558883
101928928
1110a8261
12790340
13526ca1
14382d68
15281803
hex1d6ee0

1928928 has 48 divisors (see below), whose sum is σ = 5152896. Its totient is φ = 631680.

The previous prime is 1928873. The next prime is 1928929. The reversal of 1928928 is 8298291.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6675 + ... + 6957.

It is an arithmetic number, because the mean of its divisors is an integer number (107352).

21928928 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 1928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576448).

1928928 is an abundant number, since it is smaller than the sum of its proper divisors (3223968).

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

1928928 is a wasteful number, since it uses less digits than its factorization.

1928928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 1928928 is about 1388.8585241125. The cubic root of 1928928 is about 124.4816508175.

The spelling of 1928928 in words is "one million, nine hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 283 284 426 566 568 849 852 1132 1136 1698 1704 2264 2272 3396 3408 4528 6792 6816 9056 13584 20093 27168 40186 60279 80372 120558 160744 241116 321488 482232 642976 964464 1928928