| Base | Representation |
|---|---|
| bin | 1001110010000011… |
| … | …00010101011100000 |
| 3 | 111112222221121202000 |
| 4 | 10321001202223200 |
| 5 | 41223412012200 |
| 6 | 2225041324000 |
| 7 | 244066324263 |
| oct | 47101425340 |
| 9 | 14488847660 |
| 10 | 5251672800 |
| 11 | 2255483560 |
| 12 | 1026936600 |
| 13 | 6590387ca |
| 14 | 37b694cda |
| 15 | 20b0bb300 |
| hex | 139062ae0 |
5251672800 has 864 divisors, whose sum is σ = 22341070080. Its totient is φ = 1178496000.
The previous prime is 5251672799. The next prime is 5251672807. The reversal of 5251672800 is 82761525.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5251672807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169408785 + ... + 169408815.
It is an arithmetic number, because the mean of its divisors is an integer number (25857720).
Almost surely, 25251672800 is an apocalyptic number.
5251672800 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 5251672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170535040).
5251672800 is an abundant number, since it is smaller than the sum of its proper divisors (17089397280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5251672800 is a wasteful number, since it uses less digits than its factorization.
5251672800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 5251672800 is about 72468.4262282547. The cubic root of 5251672800 is about 1738.1978964085.
It can be divided in two parts, 52516 and 72800, that added together give a square (125316 = 3542).
The spelling of 5251672800 in words is "five billion, two hundred fifty-one million, six hundred seventy-two thousand, eight hundred".
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