| Base | Representation |
|---|---|
| bin | 1111101001011010… |
| … | …1100011100010000 |
| 3 | 101211201111222012100 |
| 4 | 3322112230130100 |
| 5 | 32100231100300 |
| 6 | 1532442000400 |
| 7 | 206041364103 |
| oct | 37226543420 |
| 9 | 11751458170 |
| 10 | 4200253200 |
| 11 | 1865a2a440 |
| 12 | 9927a6100 |
| 13 | 51c267030 |
| 14 | 2bbba073a |
| 15 | 198b2e700 |
| hex | fa5ac710 |
4200253200 has 720 divisors, whose sum is σ = 17630121600. Its totient is φ = 912384000.
The previous prime is 4200253199. The next prime is 4200253217. The reversal of 4200253200 is 23520024.
4200253200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×42002532002 = 35284253888220480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21106701 + ... + 21106899.
It is an arithmetic number, because the mean of its divisors is an integer number (24486280).
Almost surely, 24200253200 is an apocalyptic number.
4200253200 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 4200253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815060800).
4200253200 is an abundant number, since it is smaller than the sum of its proper divisors (13429868400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4200253200 is a wasteful number, since it uses less digits than its factorization.
4200253200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 274 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 4200253200 is about 64809.3604350483. The cubic root of 4200253200 is about 1613.4610676058.
Adding to 4200253200 its reverse (23520024), we get a palindrome (4223773224).
The spelling of 4200253200 in words is "four billion, two hundred million, two hundred fifty-three thousand, two hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •