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5283053000 = 235340912917
BaseRepresentation
bin1001110101110010…
…01111110111001000
3111122011222220021122
410322321033313020
541304430144000
62232122054412
7244630131611
oct47271176710
914564886248
105283053000
112271166a05
12103534a408
136626a4a84
14381902c08
1520dc19085
hex13ae4fdc8

5283053000 has 64 divisors (see below), whose sum is σ = 12393529200. Its totient is φ = 2107891200.

The previous prime is 5283052981. The next prime is 5283053051. The reversal of 5283053000 is 3503825.

It can be written as a sum of positive squares in 8 ways, for example, as 988347844 + 4294705156 = 31438^2 + 65534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402542 + ... + 415458.

Almost surely, 25283053000 is an apocalyptic number.

5283053000 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 5283053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196764600).

5283053000 is an abundant number, since it is smaller than the sum of its proper divisors (7110476200).

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

5283053000 is a wasteful number, since it uses less digits than its factorization.

5283053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5283053000 is about 72684.6132272849. The cubic root of 5283053000 is about 1741.6530949343.

Adding to 5283053000 its reverse (3503825), we get a palindrome (5286556825).

The spelling of 5283053000 in words is "five billion, two hundred eighty-three million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 409 500 818 1000 1636 2045 3272 4090 8180 10225 12917 16360 20450 25834 40900 51125 51668 64585 81800 102250 103336 129170 204500 258340 322925 409000 516680 645850 1291700 1614625 2583400 3229250 5283053 6458500 10566106 12917000 21132212 26415265 42264424 52830530 105661060 132076325 211322120 264152650 528305300 660381625 1056610600 1320763250 2641526500 5283053000