Base | Representation |
---|---|
bin | 10001101011000… |
… | …00000000000000 |
3 | 101022221111101110 |
4 | 20311200000000 |
5 | 300422224212 |
6 | 22413203320 |
7 | 3450016452 |
oct | 1065400000 |
9 | 338844343 |
10 | 148242432 |
11 | 76751808 |
12 | 41790540 |
13 | 24934c20 |
14 | 1598c2d2 |
15 | d033a3c |
hex | 8d60000 |
148242432 has 144 divisors (see below), whose sum is σ = 440400240. Its totient is φ = 44040192.
The previous prime is 148242407. The next prime is 148242443. The reversal of 148242432 is 234242841.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 148242432.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111794 + ... + 5111822.
It is an arithmetic number, because the mean of its divisors is an integer number (3058335).
Almost surely, 2148242432 is an apocalyptic number.
148242432 is a gapful number since it is divisible by the number (12) 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 148242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120).
148242432 is an abundant number, since it is smaller than the sum of its proper divisors (292157808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148242432 is an frugal number, since it uses more digits than its factorization.
148242432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 47 counting only the distinct ones).
The product of its digits is 12288, while the sum is 30.
The square root of 148242432 is about 12175.4848774084. The cubic root of 148242432 is about 529.2459098995.
The spelling of 148242432 in words is "one hundred forty-eight million, two hundred forty-two thousand, four hundred thirty-two".
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