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5288371200 = 210335271093
BaseRepresentation
bin1001110110011011…
…00010010000000000
3111122120000002111000
410323031202100000
541312310334300
62232432052000
7245023261560
oct47315422000
914576002430
105288371200
112274169612
121037094000
13663817638
143824c8da0
1520e419c00
hex13b362400

5288371200 has 528 divisors, whose sum is σ = 22215026560. Its totient is φ = 1207664640.

The previous prime is 5288371177. The next prime is 5288371219. The reversal of 5288371200 is 21738825.

5288371200 is a `hidden beast` number, since 5 + 2 + 88 + 371 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837854 + ... + 4838946.

Almost surely, 25288371200 is an apocalyptic number.

5288371200 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 5288371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107513280).

5288371200 is an abundant number, since it is smaller than the sum of its proper divisors (16926655360).

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

5288371200 is a wasteful number, since it uses less digits than its factorization.

5288371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5288371200 is about 72721.1881091061. The cubic root of 5288371200 is about 1742.2373122546.

The spelling of 5288371200 in words is "five billion, two hundred eighty-eight million, three hundred seventy-one thousand, two hundred".