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5277348000 = 253253473119
BaseRepresentation
bin1001110101000110…
…11111000010100000
3111121210021001111100
410322203133002200
541302000114000
62231355514400
7244530501141
oct47243370240
914553231440
105277348000
112268a1a731
121033458a00
13661458132
14380c59ac8
1520d48da00
hex13a8df0a0

5277348000 has 288 divisors, whose sum is σ = 19133936640. Its totient is φ = 1376908800.

The previous prime is 5277347981. The next prime is 5277348001. The reversal of 5277348000 is 8437725.

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

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

It is not an unprimeable number, because it can be changed into a prime (5277348001) 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, 1690441 + ... + 1693559.

It is an arithmetic number, because the mean of its divisors is an integer number (66437280).

Almost surely, 25277348000 is an apocalyptic number.

5277348000 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 5277348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566968320).

5277348000 is an abundant number, since it is smaller than the sum of its proper divisors (13856588640).

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

5277348000 is a wasteful number, since it uses less digits than its factorization.

5277348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5277348000 is about 72645.3577319294. The cubic root of 5277348000 is about 1741.0259506408.

The spelling of 5277348000 in words is "five billion, two hundred seventy-seven million, three hundred forty-eight thousand".