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5183028000 = 25345317941
BaseRepresentation
bin1001101001110111…
…01011101100100000
3111101012210002210000
410310323223230200
541103323344000
62214150140000
7242304003543
oct46473535440
914335702700
105183028000
11221a758717
121007951600
13647a52a97
1437250685a
1520505c000
hex134eebb20

5183028000 has 480 divisors, whose sum is σ = 20163871728. Its totient is φ = 1299456000.

The previous prime is 5183027957. The next prime is 5183028001. The reversal of 5183028000 is 8203815.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 742671504 + 4440356496 = 27252^2 + 66636^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183028001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5507530 + ... + 5508470.

Almost surely, 25183028000 is an apocalyptic number.

5183028000 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 5183028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081935864).

5183028000 is an abundant number, since it is smaller than the sum of its proper divisors (14980843728).

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

5183028000 is a wasteful number, since it uses less digits than its factorization.

5183028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5183028000 is about 71993.2496835641. The cubic root of 5183028000 is about 1730.5913088899.

The spelling of 5183028000 in words is "five billion, one hundred eighty-three million, twenty-eight thousand".