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2528431080 = 2335717199319
BaseRepresentation
bin1001011010110100…
…1100101111101000
320112012200121101120
42112231030233220
520134234243310
61054521015240
7116441211120
oct22655145750
96465617346
102528431080
11108826276a
125a6924520
13313aa5286
1419db31c80
15ebe94b70
hex96b4cbe8

2528431080 has 256 divisors, whose sum is σ = 9662976000. Its totient is φ = 515248128.

The previous prime is 2528431067. The next prime is 2528431109. The reversal of 2528431080 is 801348252.

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 63 ways as a sum of consecutive naturals, for example, 266661 + ... + 275979.

It is an arithmetic number, because the mean of its divisors is an integer number (37746000).

Almost surely, 22528431080 is an apocalyptic number.

2528431080 is a gapful number since it is divisible by the number (20) 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 2528431080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831488000).

2528431080 is an abundant number, since it is smaller than the sum of its proper divisors (7134544920).

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

2528431080 is a wasteful number, since it uses less digits than its factorization.

2528431080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2528431080 is about 50283.5070375963. The cubic root of 2528431080 is about 1362.3343487975.

The spelling of 2528431080 in words is "two billion, five hundred twenty-eight million, four hundred thirty-one thousand, eighty".