Base | Representation |
---|---|
bin | 10001110000010… |
… | …01111001100000 |
3 | 101101020211222200 |
4 | 20320021321200 |
5 | 301112011321 |
6 | 22440133200 |
7 | 3455645361 |
oct | 1070117140 |
9 | 341224880 |
10 | 148938336 |
11 | 77087638 |
12 | 41a67200 |
13 | 24b198c1 |
14 | 15acdb68 |
15 | d11ed26 |
hex | 8e09e60 |
148938336 has 72 divisors (see below), whose sum is σ = 424746504. Its totient is φ = 49505280.
The previous prime is 148938331. The next prime is 148938341. The reversal of 148938336 is 633839841.
148938336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (148938331) and next prime (148938341).
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 148938291 and 148938300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (148938331) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 168616 + ... + 169496.
It is an arithmetic number, because the mean of its divisors is an integer number (5899257).
Almost surely, 2148938336 is an apocalyptic number.
148938336 is a gapful number since it is divisible by the number (16) 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 148938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212373252).
148938336 is an abundant number, since it is smaller than the sum of its proper divisors (275808168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148938336 is a wasteful number, since it uses less digits than its factorization.
148938336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 148938336 is about 12204.0294984894. The cubic root of 148938336 is about 530.0727751022.
The spelling of 148938336 in words is "one hundred forty-eight million, nine hundred thirty-eight thousand, three hundred thirty-six".
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