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1045928 = 231389113
BaseRepresentation
bin11111111010110101000
31222010202002
43333112220
5231432203
634230132
711614232
oct3772650
91863662
101045928
11654904
12425348
132a80c0
141d3252
15159d88
hexff5a8

1045928 has 32 divisors (see below), whose sum is σ = 2154600. Its totient is φ = 473088.

The previous prime is 1045907. The next prime is 1045963. The reversal of 1045928 is 8295401.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 813604 = 482^2 + 902^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1045928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9200 + ... + 9312.

21045928 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 1045928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077300).

1045928 is an abundant number, since it is smaller than the sum of its proper divisors (1108672).

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

1045928 is a wasteful number, since it uses less digits than its factorization.

1045928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1045928 is about 1022.7062139246. The cubic root of 1045928 is about 101.5080760720.

The spelling of 1045928 in words is "one million, forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 113 178 226 356 452 712 904 1157 1469 2314 2938 4628 5876 9256 10057 11752 20114 40228 80456 130741 261482 522964 1045928