Base | Representation |
---|---|
bin | 1011011111111… |
… | …1101010000000 |
3 | 10100202111100200 |
4 | 2313333222000 |
5 | 44321424323 |
6 | 4441445200 |
7 | 1123655151 |
oct | 267775200 |
9 | 110674320 |
10 | 48233088 |
11 | 25254262 |
12 | 141a0800 |
13 | 9cba0b7 |
14 | 6597928 |
15 | 437b443 |
hex | 2dffa80 |
48233088 has 96 divisors (see below), whose sum is σ = 140224500. Its totient is φ = 15912960.
The previous prime is 48233083. The next prime is 48233113. The reversal of 48233088 is 88033284.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 788544 = 6888^2 + 888^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (48233083) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171508 + ... + 171788.
Almost surely, 248233088 is an apocalyptic number.
48233088 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 48233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70112250).
48233088 is an abundant number, since it is smaller than the sum of its proper divisors (91991412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48233088 is a wasteful number, since it uses less digits than its factorization.
48233088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 435 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 48233088 is about 6945.0045356357. The cubic root of 48233088 is about 364.0114314326.
The spelling of 48233088 in words is "forty-eight million, two hundred thirty-three thousand, eighty-eight".
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