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9026057504 = 254135319489
BaseRepresentation
bin10000110011111111…
…01011010100100000
3212022001010020012002
420121333223110200
5121441132320004
64051351423132
7436450136312
oct103177532440
925261106162
109026057504
113911a79662
1218ba984aa8
13b0aca4939
14618a797b2
1537c62761e
hex219feb520

9026057504 has 48 divisors (see below), whose sum is σ = 18255971160. Its totient is φ = 4390256640.

The previous prime is 9026057497. The next prime is 9026057543. The reversal of 9026057504 is 4057506209.

It is a happy number.

9026057504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2244864400 + 6781193104 = 47380^2 + 82348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453392 + ... + 472880.

Almost surely, 29026057504 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 9026057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127985580).

9026057504 is an abundant number, since it is smaller than the sum of its proper divisors (9229913656).

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

9026057504 is a wasteful number, since it uses less digits than its factorization.

9026057504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19893 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 9026057504 is about 95005.5656474925. The cubic root of 9026057504 is about 2082.0893625616.

The spelling of 9026057504 in words is "nine billion, twenty-six million, fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 353 656 706 1312 1412 2824 5648 11296 14473 19489 28946 38978 57892 77956 115784 155912 231568 311824 463136 623648 799049 1598098 3196196 6392392 6879617 12784784 13759234 25569568 27518468 55036936 110073872 220147744 282064297 564128594 1128257188 2256514376 4513028752 9026057504