Base | Representation |
---|---|
bin | 1011010000000… |
… | …1000001010000 |
3 | 10021210111122100 |
4 | 2310001001100 |
5 | 44040040341 |
6 | 4403240400 |
7 | 1112052312 |
oct | 264010120 |
9 | 107714570 |
10 | 47190096 |
11 | 24701688 |
12 | 13979100 |
13 | 9a13445 |
14 | 63a57b2 |
15 | 42223b6 |
hex | 2d01050 |
47190096 has 120 divisors (see below), whose sum is σ = 143890344. Its totient is φ = 14376960.
The previous prime is 47190037. The next prime is 47190107. The reversal of 47190096 is 69009174.
It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 29550096 = 4200^2 + 5436^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 47190096.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90316 + ... + 90836.
Almost surely, 247190096 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 47190096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71945172).
47190096 is an abundant number, since it is smaller than the sum of its proper divisors (96700248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47190096 is a wasteful number, since it uses less digits than its factorization.
47190096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 589 (or 580 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 47190096 is about 6869.5047856450. The cubic root of 47190096 is about 361.3684949496.
The spelling of 47190096 in words is "forty-seven million, one hundred ninety thousand, ninety-six".
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