Base | Representation |
---|---|
bin | 1011101110001… |
… | …0001111010000 |
3 | 10102111122110000 |
4 | 2323202033100 |
5 | 100041124133 |
6 | 4513410000 |
7 | 1134602010 |
oct | 273421720 |
9 | 112448400 |
10 | 49161168 |
11 | 25828571 |
12 | 14569900 |
13 | a253664 |
14 | 6759c40 |
15 | 44b1413 |
hex | 2ee23d0 |
49161168 has 100 divisors (see below), whose sum is σ = 162643360. Its totient is φ = 14043456.
The previous prime is 49161139. The next prime is 49161191. The reversal of 49161168 is 86116194.
It is a happy number.
49161168 is a `hidden beast` number, since 491 + 6 + 1 + 168 = 666.
49161168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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, 6363 + ... + 11781.
Almost surely, 249161168 is an apocalyptic number.
49161168 is a gapful number since it is divisible by the number (48) 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 49161168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81321680).
49161168 is an abundant number, since it is smaller than the sum of its proper divisors (113482192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49161168 is a wasteful number, since it uses less digits than its factorization.
49161168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5446 (or 5431 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 49161168 is about 7011.5025493827. The cubic root of 49161168 is about 366.3313312450.
It can be divided in two parts, 4916 and 1168, that added together give a square (6084 = 782).
The spelling of 49161168 in words is "forty-nine million, one hundred sixty-one thousand, one hundred sixty-eight".
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