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5828143000 = 23537577699
BaseRepresentation
bin1010110110110001…
…00110011110011000
3120001011200100012011
411123120212132120
543414001034000
62402153155304
7264266253361
oct53330463630
916034610164
105828143000
112520920109
1211679bbb34
1371b5b6434
143d4074b68
152419dc2ba
hex15b626798

5828143000 has 64 divisors (see below), whose sum is σ = 13657644000. Its totient is φ = 2327875200.

The previous prime is 5828142979. The next prime is 5828143033. The reversal of 5828143000 is 3418285.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 753151 + ... + 760849.

Almost surely, 25828143000 is an apocalyptic number.

5828143000 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 5828143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828822000).

5828143000 is an abundant number, since it is smaller than the sum of its proper divisors (7829501000).

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

5828143000 is a wasteful number, since it uses less digits than its factorization.

5828143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5828143000 is about 76342.2753132234. The cubic root of 5828143000 is about 1799.6031017912.

The spelling of 5828143000 in words is "five billion, eight hundred twenty-eight million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 757 1000 1514 3028 3785 6056 7570 7699 15140 15398 18925 30280 30796 37850 38495 61592 75700 76990 94625 151400 153980 189250 192475 307960 378500 384950 757000 769900 962375 1539800 1924750 3849500 5828143 7699000 11656286 23312572 29140715 46625144 58281430 116562860 145703575 233125720 291407150 582814300 728517875 1165628600 1457035750 2914071500 5828143000