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1045328928 = 253719231139
BaseRepresentation
bin111110010011100…
…111010000100000
32200211222012201020
4332103213100200
54120101011203
6251421005440
734622102130
oct7623472040
92624865636
101045328928
11497074106
122520b3880
1313874b437
149cb8aac0
1561b87153
hex3e4e7420

1045328928 has 288 divisors, whose sum is σ = 3441070080. Its totient is φ = 271848960.

The previous prime is 1045328923. The next prime is 1045328951. The reversal of 1045328928 is 8298235401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1045328928.

It is not an unprimeable number, because it can be changed into a prime (1045328923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7520283 + ... + 7520421.

It is an arithmetic number, because the mean of its divisors is an integer number (11948160).

Almost surely, 21045328928 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 1045328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

1045328928 is an abundant number, since it is smaller than the sum of its proper divisors (2395741152).

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

1045328928 is a wasteful number, since it uses less digits than its factorization.

1045328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1045328928 is about 32331.5469472155. The cubic root of 1045328928 is about 1014.8869224575.

The spelling of 1045328928 in words is "one billion, forty-five million, three hundred twenty-eight thousand, nine hundred twenty-eight".