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5283198900 = 223252719223101
BaseRepresentation
bin1001110101110011…
…10011011110110100
3111122012021022102100
410322321303132310
541304444331100
62232125142100
7244631310150
oct47271633664
914565238370
105283198900
112271256591
1210353ba930
136627262c5
14381940060
1520dc47400
hex13ae737b4

5283198900 has 648 divisors, whose sum is σ = 21048902784. Its totient is φ = 1083456000.

The previous prime is 5283198871. The next prime is 5283198971. The reversal of 5283198900 is 98913825.

It is a happy number.

5283198900 is a `hidden beast` number, since 528 + 31 + 9 + 8 + 90 + 0 = 666.

It is a super-2 number, since 2×52831989002 = 55824381233922420000, which contains 22 as substring.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52308850 + ... + 52308950.

Almost surely, 25283198900 is an apocalyptic number.

5283198900 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 5283198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524451392).

5283198900 is an abundant number, since it is smaller than the sum of its proper divisors (15765703884).

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

5283198900 is a wasteful number, since it uses less digits than its factorization.

5283198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5283198900 is about 72685.6168715655. The cubic root of 5283198900 is about 1741.6691276366.

The spelling of 5283198900 in words is "five billion, two hundred eighty-three million, one hundred ninety-eight thousand, nine hundred".