Base | Representation |
---|---|
bin | 1011011010100… |
… | …1001101010000 |
3 | 10100002111122000 |
4 | 2312221031100 |
5 | 44224111432 |
6 | 4430114000 |
7 | 1120651620 |
oct | 266511520 |
9 | 110074560 |
10 | 47878992 |
11 | 25032217 |
12 | 1404b900 |
13 | 9bc4b85 |
14 | 6504880 |
15 | 430b57c |
hex | 2da9350 |
47878992 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 13426560.
The previous prime is 47878991. The next prime is 47879009. The reversal of 47878992 is 29987874.
47878992 is a `hidden beast` number, since 478 + 7 + 89 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47878991) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214593 + ... + 214815.
It is an arithmetic number, because the mean of its divisors is an integer number (999936).
Almost surely, 247878992 is an apocalyptic number.
47878992 is a gapful number since it is divisible by the number (42) 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 47878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).
47878992 is an abundant number, since it is smaller than the sum of its proper divisors (112110768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47878992 is a wasteful number, since it uses less digits than its factorization.
47878992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 318 (or 306 counting only the distinct ones).
The product of its digits is 2032128, while the sum is 54.
The square root of 47878992 is about 6919.4647191817. The cubic root of 47878992 is about 363.1184641698.
The spelling of 47878992 in words is "forty-seven million, eight hundred seventy-eight thousand, nine hundred ninety-two".
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