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5288802000 = 2435317192729
BaseRepresentation
bin1001110110011110…
…01011011011010000
3111122120210222102120
410323033023123100
541312413131000
62232445214240
7245030034546
oct47317133320
914576728376
105288802000
112274433249
121037261380
13663938751
1438259bd96
1520e4a26a0
hex13b3cb6d0

5288802000 has 320 divisors, whose sum is σ = 19011283200. Its totient is φ = 1257062400.

The previous prime is 5288801989. The next prime is 5288802031. The reversal of 5288802000 is 2088825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1936636 + ... + 1939364.

It is an arithmetic number, because the mean of its divisors is an integer number (59410260).

Almost surely, 25288802000 is an apocalyptic number.

5288802000 is a gapful number since it is divisible by the number (50) 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 5288802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505641600).

5288802000 is an abundant number, since it is smaller than the sum of its proper divisors (13722481200).

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

5288802000 is a wasteful number, since it uses less digits than its factorization.

5288802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 5288802000 is about 72724.1500465973. The cubic root of 5288802000 is about 1742.2846195398.

The spelling of 5288802000 in words is "five billion, two hundred eighty-eight million, eight hundred two thousand".