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5286845700 = 223452432353
BaseRepresentation
bin1001110110001111…
…01101110100000100
3111122110010120220000
410323013231310010
541311413030300
62232335241300
7245004306213
oct47307556404
914573116800
105286845700
112273317474
121036679230
13663402186
1438220d07a
1520e217c00
hex13b1edd04

5286845700 has 270 divisors, whose sum is σ = 17595393354. Its totient is φ = 1373137920.

The previous prime is 5286845699. The next prime is 5286845717. The reversal of 5286845700 is 75486825.

It can be written as a sum of positive squares in 3 ways, for example, as 216266436 + 5070579264 = 14706^2 + 71208^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 14976724 + ... + 14977076.

Almost surely, 25286845700 is an apocalyptic number.

5286845700 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 5286845700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797696677).

5286845700 is an abundant number, since it is smaller than the sum of its proper divisors (12308547654).

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

5286845700 is a wasteful number, since it uses less digits than its factorization.

5286845700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5286845700 is about 72710.6986625765. The cubic root of 5286845700 is about 1742.0697724130.

The spelling of 5286845700 in words is "five billion, two hundred eighty-six million, eight hundred forty-five thousand, seven hundred".