| Base | Representation |
|---|---|
| bin | 1001010001001100… |
| … | …01001100111100000 |
| 3 | 110211210022212200000 |
| 4 | 10220212021213200 |
| 5 | 40142332304200 |
| 6 | 2141434100000 |
| 7 | 234211533141 |
| oct | 45046114740 |
| 9 | 13753285600 |
| 10 | 4976056800 |
| 11 | 2123944140 |
| 12 | b6a57a600 |
| 13 | 613bc7710 |
| 14 | 352c2bac8 |
| 15 | 1e1cc7300 |
| hex | 1289899e0 |
4976056800 has 864 divisors, whose sum is σ = 21497374080. Its totient is φ = 1107302400.
The previous prime is 4976056769. The next prime is 4976056801. The reversal of 4976056800 is 86506794.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×49760568002 = 49522282553652480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4976056801) 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, 27799111 + ... + 27799289.
It is an arithmetic number, because the mean of its divisors is an integer number (24881220).
Almost surely, 24976056800 is an apocalyptic number.
4976056800 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 4976056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748687040).
4976056800 is an abundant number, since it is smaller than the sum of its proper divisors (16521317280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4976056800 is a wasteful number, since it uses less digits than its factorization.
4976056800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 4976056800 is about 70541.1709571084. The cubic root of 4976056800 is about 1707.2420918005.
It can be divided in two parts, 497605 and 6800, that added together give a palindrome (504405).
The spelling of 4976056800 in words is "four billion, nine hundred seventy-six million, fifty-six thousand, eight hundred".
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