Base | Representation |
---|---|
bin | 11101100100111… |
… | …00111111100010 |
3 | 122021212010210100 |
4 | 32302130333202 |
5 | 1002003410403 |
6 | 40341443230 |
7 | 6101605650 |
oct | 1662347742 |
9 | 567763710 |
10 | 248106978 |
11 | 118060499 |
12 | 6b110516 |
13 | 3c52bb82 |
14 | 24d45dd0 |
15 | 16bad2a3 |
hex | ec9cfe2 |
248106978 has 96 divisors (see below), whose sum is σ = 664410240. Its totient is φ = 65318400.
The previous prime is 248106931. The next prime is 248107019. The reversal of 248106978 is 879601842.
248106978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87178 + ... + 89978.
It is an arithmetic number, because the mean of its divisors is an integer number (6920940).
Almost surely, 2248106978 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 248106978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332205120).
248106978 is an abundant number, since it is smaller than the sum of its proper divisors (416303262).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248106978 is a wasteful number, since it uses less digits than its factorization.
248106978 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2872 (or 2869 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The square root of 248106978 is about 15751.4119367122. The cubic root of 248106978 is about 628.3664558304.
The spelling of 248106978 in words is "two hundred forty-eight million, one hundred six thousand, nine hundred seventy-eight".
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