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2483764128 = 25332874727
BaseRepresentation
bin1001010000001011…
…0011101110100000
320102002122021212000
42110002303232200
520041320423003
61050243404000
7115356434556
oct22402635640
96362567760
102483764128
11106502482a
12593983600
13307766421
14197c25bd6
15e80c01a3
hex940b3ba0

2483764128 has 48 divisors (see below), whose sum is σ = 7244314560. Its totient is φ = 827921088.

The previous prime is 2483764121. The next prime is 2483764147. The reversal of 2483764128 is 8214673842.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2483764121) 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 7 ways as a sum of consecutive naturals, for example, 1436500 + ... + 1438227.

It is an arithmetic number, because the mean of its divisors is an integer number (150923220).

Almost surely, 22483764128 is an apocalyptic number.

It is an amenable number.

2483764128 is an abundant number, since it is smaller than the sum of its proper divisors (4760550432).

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

2483764128 is a wasteful number, since it uses less digits than its factorization.

2483764128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874746 (or 2874732 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2483764128 is about 49837.3768170035. The cubic root of 2483764128 is about 1354.2643625173.

The spelling of 2483764128 in words is "two billion, four hundred eighty-three million, seven hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2874727 5749454 8624181 11498908 17248362 22997816 25872543 34496724 45995632 51745086 68993448 77617629 91991264 103490172 137986896 155235258 206980344 275973792 310470516 413960688 620941032 827921376 1241882064 2483764128