Base | Representation |
---|---|
bin | 1011101100111… |
… | …1100100100000 |
3 | 10102100202120000 |
4 | 2323033210200 |
5 | 100031202304 |
6 | 4512020000 |
7 | 1134133044 |
oct | 273174440 |
9 | 112322500 |
10 | 49084704 |
11 | 25786079 |
12 | 14531600 |
13 | a227906 |
14 | 673a024 |
15 | 4498939 |
hex | 2ecf920 |
49084704 has 120 divisors (see below), whose sum is σ = 149563260. Its totient is φ = 15773184.
The previous prime is 49084703. The next prime is 49084741. The reversal of 49084704 is 40748094.
49084704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 810000 = 6948^2 + 900^2 .
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 (49084703) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74842 + ... + 75494.
Almost surely, 249084704 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 49084704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74781630).
49084704 is an abundant number, since it is smaller than the sum of its proper divisors (100478556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49084704 is a wasteful number, since it uses less digits than its factorization.
49084704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 704 (or 687 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 49084704 is about 7006.0476732606. The cubic root of 49084704 is about 366.1413052873.
The spelling of 49084704 in words is "forty-nine million, eighty-four thousand, seven hundred four".
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