| Base | Representation |
|---|---|
| bin | 1000010111011111… |
| … | …11110011000100000 |
| 3 | 102121001122222002100 |
| 4 | 10023233332120200 |
| 5 | 33144433433320 |
| 6 | 2021425050400 |
| 7 | 216214105635 |
| oct | 41357763040 |
| 9 | 12531588070 |
| 10 | 4492092960 |
| 11 | 19a573aa23 |
| 12 | a54486a00 |
| 13 | 567868794 |
| 14 | 30884c18c |
| 15 | 1b457a790 |
| hex | 10bbfe620 |
4492092960 has 288 divisors, whose sum is σ = 15697438848. Its totient is φ = 1169510400.
The previous prime is 4492092931. The next prime is 4492092961. The reversal of 4492092960 is 692902944.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×44920929602 = 40357798322563123200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (4492092961) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 15872979 + ... + 15873261.
It is an arithmetic number, because the mean of its divisors is an integer number (54504996).
Almost surely, 24492092960 is an apocalyptic number.
4492092960 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 4492092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848719424).
4492092960 is an abundant number, since it is smaller than the sum of its proper divisors (11205345888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4492092960 is a wasteful number, since it uses less digits than its factorization.
4492092960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 528 (or 517 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The square root of 4492092960 is about 67023.0778165253. The cubic root of 4492092960 is about 1649.9960771257.
The spelling of 4492092960 in words is "four billion, four hundred ninety-two million, ninety-two thousand, nine hundred sixty".
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