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5683834800 = 2434527191319
BaseRepresentation
bin1010100101100100…
…00110111110110000
3112200010010201120000
411102302012332300
543120030203200
62340000150000
7260564540640
oct52262067660
915603121500
105683834800
112457416236
121127608300
136c772b177
143bcc2c520
15233ed4300
hex152c86fb0

5683834800 has 600 divisors, whose sum is σ = 24558547200. Its totient is φ = 1229852160.

The previous prime is 5683834789. The next prime is 5683834847. The reversal of 5683834800 is 84383865.

5683834800 is a `hidden beast` number, since 568 + 3 + 8 + 3 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4308541 + ... + 4309859.

It is an arithmetic number, because the mean of its divisors is an integer number (40930912).

Almost surely, 25683834800 is an apocalyptic number.

5683834800 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 5683834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279273600).

5683834800 is an abundant number, since it is smaller than the sum of its proper divisors (18874712400).

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

5683834800 is a wasteful number, since it uses less digits than its factorization.

5683834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5683834800 is about 75391.2116894270. The cubic root of 5683834800 is about 1784.6257247907.

The spelling of 5683834800 in words is "five billion, six hundred eighty-three million, eight hundred thirty-four thousand, eight hundred".