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1028475400 = 23527097253
BaseRepresentation
bin111101010011010…
…100101000001000
32122200020222000111
4331103110220020
54101242203100
6250015444104
734325616361
oct7523245010
92580228014
101028475400
11488602877
12248526634
131350ca234
149a840b68
15604586ba
hex3d4d4a08

1028475400 has 48 divisors (see below), whose sum is σ = 2394908100. Its totient is φ = 410753280.

The previous prime is 1028475397. The next prime is 1028475403. The reversal of 1028475400 is 45748201.

It is an interprime number because it is at equal distance from previous prime (1028475397) and next prime (1028475403).

It can be written as a sum of positive squares in 6 ways, for example, as 287438116 + 741037284 = 16954^2 + 27222^2 .

It is not an unprimeable number, because it can be changed into a prime (1028475403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 138174 + ... + 145426.

Almost surely, 21028475400 is an apocalyptic number.

1028475400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028475400 is an abundant number, since it is smaller than the sum of its proper divisors (1366432700).

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

1028475400 is a wasteful number, since it uses less digits than its factorization.

1028475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1028475400 is about 32069.8518861563. The cubic root of 1028475400 is about 1009.4031044902.

The spelling of 1028475400 in words is "one billion, twenty-eight million, four hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 709 1418 2836 3545 5672 7090 7253 14180 14506 17725 28360 29012 35450 36265 58024 70900 72530 141800 145060 181325 290120 362650 725300 1450600 5142377 10284754 20569508 25711885 41139016 51423770 102847540 128559425 205695080 257118850 514237700 1028475400