| Base | Representation |
|---|---|
| bin | 1000101010101010… |
| … | …10011010001100000 |
| 3 | 110000021012102120020 |
| 4 | 10111111103101200 |
| 5 | 34012113412200 |
| 6 | 2045411113440 |
| 7 | 223205523552 |
| oct | 42525232140 |
| 9 | 13007172506 |
| 10 | 4652872800 |
| 11 | 1a78475224 |
| 12 | a9a2a2880 |
| 13 | 591c70194 |
| 14 | 321d414d2 |
| 15 | 1c3738ea0 |
| hex | 115553460 |
4652872800 has 144 divisors (see below), whose sum is σ = 16036129872. Its totient is φ = 1167769600.
The previous prime is 4652872789. The next prime is 4652872811. The reversal of 4652872800 is 82782564.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (4652872789) and next prime (4652872811).
It is a super-3 number, since 3×46528728003 (a number of 30 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 16221 + ... + 97820.
It is an arithmetic number, because the mean of its divisors is an integer number (111362013).
Almost surely, 24652872800 is an apocalyptic number.
4652872800 is a gapful number since it is divisible by the number (40) 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 4652872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018064936).
4652872800 is an abundant number, since it is smaller than the sum of its proper divisors (11383257072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4652872800 is a wasteful number, since it uses less digits than its factorization.
4652872800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114081 (or 114068 counting only the distinct ones).
The product of its (nonzero) digits is 215040, while the sum is 42.
The square root of 4652872800 is about 68211.9696241063. The cubic root of 4652872800 is about 1669.4511923703.
The spelling of 4652872800 in words is "four billion, six hundred fifty-two million, eight hundred seventy-two thousand, eight hundred".
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