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5685829800 = 23352719431657
BaseRepresentation
bin1010100101110011…
…01110000010101000
3112200020220002011220
411102321232002220
543121033023200
62340111022040
7260620520160
oct52271560250
915606802156
105685829800
1124585590a2
12112820a920
136c7c79241
143bd1cb5a0
1523427a4a0
hex152e6e0a8

5685829800 has 384 divisors, whose sum is σ = 21710515200. Its totient is φ = 1201858560.

The previous prime is 5685829783. The next prime is 5685829829. The reversal of 5685829800 is 89285865.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3430572 + ... + 3432228.

It is an arithmetic number, because the mean of its divisors is an integer number (56537800).

Almost surely, 25685829800 is an apocalyptic number.

5685829800 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 5685829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855257600).

5685829800 is an abundant number, since it is smaller than the sum of its proper divisors (16024685400).

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

5685829800 is a wasteful number, since it uses less digits than its factorization.

5685829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 5685829800 is about 75404.4415137464. The cubic root of 5685829800 is about 1784.8344988534.

The spelling of 5685829800 in words is "five billion, six hundred eighty-five million, eight hundred twenty-nine thousand, eight hundred".