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5281295328 = 25321923291447
BaseRepresentation
bin1001110101100101…
…00010101111100000
3111122001200121012200
410322302202233200
541304002422303
62232020253200
7244606161321
oct47262425740
914561617180
105281295328
112270176391
121034841200
1366220aa2a
143815a6448
1520d9bd3a3
hex13aca2be0

5281295328 has 288 divisors, whose sum is σ = 17077132800. Its totient is φ = 1539191808.

The previous prime is 5281295323. The next prime is 5281295329. The reversal of 5281295328 is 8235921825.

5281295328 is a `hidden beast` number, since 528 + 1 + 2 + 95 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281295323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649101 + ... + 3650547.

It is an arithmetic number, because the mean of its divisors is an integer number (59295600).

Almost surely, 25281295328 is an apocalyptic number.

5281295328 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 5281295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538566400).

5281295328 is an abundant number, since it is smaller than the sum of its proper divisors (11795837472).

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

5281295328 is a wasteful number, since it uses less digits than its factorization.

5281295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5281295328 is about 72672.5211341949. The cubic root of 5281295328 is about 1741.4599241525.

The spelling of 5281295328 in words is "five billion, two hundred eighty-one million, two hundred ninety-five thousand, three hundred twenty-eight".