Base | Representation |
---|---|
bin | 1011011100011… |
… | …0000001001000 |
3 | 10100022111111200 |
4 | 2313012001020 |
5 | 44241401000 |
6 | 4432424200 |
7 | 1121652642 |
oct | 267060110 |
9 | 110274450 |
10 | 47997000 |
11 | 25102947 |
12 | 140a8060 |
13 | 9c367bc |
14 | 6535892 |
15 | 4331500 |
hex | 2dc6048 |
47997000 has 96 divisors (see below), whose sum is σ = 162260280. Its totient is φ = 12796800.
The previous prime is 47996981. The next prime is 47997007. The reversal of 47997000 is 79974.
It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 16793604 = 5586^2 + 4098^2 .
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 (47997007) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334 + ... + 11666.
Almost surely, 247997000 is an apocalyptic number.
47997000 is a gapful number since it is divisible by the number (40) 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 47997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81130140).
47997000 is an abundant number, since it is smaller than the sum of its proper divisors (114263280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47997000 is a wasteful number, since it uses less digits than its factorization.
47997000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5360 (or 5343 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The square root of 47997000 is about 6927.9867205415. The cubic root of 47997000 is about 363.4165470729.
It can be divided in two parts, 479 and 97000, that added together give a palindrome (97479).
The spelling of 47997000 in words is "forty-seven million, nine hundred ninety-seven thousand".
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