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5790140928 = 2933111329101
BaseRepresentation
bin1010110010001111…
…01000101000000000
3112221112011122011000
411121013220220000
543324234002203
62354314452000
7263325246225
oct53107505000
915845148130
105790140928
112501424640
121157134000
1371376c0c0
143ccdc194c
1523d4d24a3
hex1591e8a00

5790140928 has 640 divisors, whose sum is σ = 21036153600. Its totient is φ = 1548288000.

The previous prime is 5790140869. The next prime is 5790140929. The reversal of 5790140928 is 8290410975.

It is a super-2 number, since 2×57901409282 = 67051463932201402368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5790140929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57328078 + ... + 57328178.

It is an arithmetic number, because the mean of its divisors is an integer number (32868990).

Almost surely, 25790140928 is an apocalyptic number.

5790140928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

5790140928 is an abundant number, since it is smaller than the sum of its proper divisors (15246012672).

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

5790140928 is a wasteful number, since it uses less digits than its factorization.

5790140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5790140928 is about 76092.9755496524. The cubic root of 5790140928 is about 1795.6831665813.

The spelling of 5790140928 in words is "five billion, seven hundred ninety million, one hundred forty thousand, nine hundred twenty-eight".