| Base | Representation |
|---|---|
| bin | 11010010110100… |
| … | …010001100100000 |
| 3 | 1010210220202120000 |
| 4 | 122112202030200 |
| 5 | 1401140133343 |
| 6 | 111512020000 |
| 7 | 13645625400 |
| oct | 3226421440 |
| 9 | 1123822500 |
| 10 | 442114848 |
| 11 | 20762047a |
| 12 | 104091600 |
| 13 | 70798926 |
| 14 | 42a08800 |
| 15 | 28c31ed3 |
| hex | 1a5a2320 |
442114848 has 270 divisors, whose sum is σ = 1538603451. Its totient is φ = 124177536.
The previous prime is 442114823. The next prime is 442114859. The reversal of 442114848 is 848411244.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 221057424 + 221057424 = 14868^2 + 14868^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=14868.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7493443 + ... + 7493501.
Almost surely, 2442114848 is an apocalyptic number.
442114848 is a gapful number since it is divisible by the number (48) 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 442114848
442114848 is an abundant number, since it is smaller than the sum of its proper divisors (1096488603).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442114848 is an equidigital number, since it uses as much as digits as its factorization.
442114848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 71 counting only the distinct ones).
The product of its digits is 32768, while the sum is 36.
The square root of 442114848 is about 21026.5272453632. The cubic root of 442114848 is about 761.8071308015.
Multiplying 442114848 by its product of digits (32768), we get a square (14487219339264 = 38062082).
The spelling of 442114848 in words is "four hundred forty-two million, one hundred fourteen thousand, eight hundred forty-eight".
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