Base | Representation |
---|---|
bin | 1011100001100… |
… | …0001000100100 |
3 | 10100221120220000 |
4 | 2320120020210 |
5 | 44333131343 |
6 | 4443541300 |
7 | 1124553360 |
oct | 270301044 |
9 | 110846800 |
10 | 48333348 |
11 | 25312618 |
12 | 1422a830 |
13 | a02391b |
14 | 65c22a0 |
15 | 439aed3 |
hex | 2e18224 |
48333348 has 120 divisors (see below), whose sum is σ = 146524224. Its totient is φ = 13608000.
The previous prime is 48333347. The next prime is 48333349. The reversal of 48333348 is 84333384.
It is an interprime number because it is at equal distance from previous prime (48333347) and next prime (48333349).
It is a super-2 number, since 2×483333482 = 4672225057778208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (82944) is a multiple of the sum of its prime divisors (324).
It is not an unprimeable number, because it can be changed into a prime (48333347) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228963 + ... + 229173.
Almost surely, 248333348 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48333348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73262112).
48333348 is an abundant number, since it is smaller than the sum of its proper divisors (98190876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48333348 is a wasteful number, since it uses less digits than its factorization.
48333348 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 335 (or 324 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 48333348 is about 6952.2189263573. The cubic root of 48333348 is about 364.2634750635.
Adding to 48333348 its sum of digits (36), we get a palindrome (48333384).
The spelling of 48333348 in words is "forty-eight million, three hundred thirty-three thousand, three hundred forty-eight".
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