Base | Representation |
---|---|
bin | 1011011000011… |
… | …1000001000000 |
3 | 10022211101112001 |
4 | 2312013001000 |
5 | 44210121234 |
6 | 4423113344 |
7 | 1116526411 |
oct | 266070100 |
9 | 108741461 |
10 | 47738944 |
11 | 24a46a80 |
12 | 13ba2854 |
13 | 9b761c6 |
14 | 64a9808 |
15 | 42ced14 |
hex | 2d87040 |
47738944 has 112 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 19837440.
The previous prime is 47738939. The next prime is 47738947. The reversal of 47738944 is 44983774.
Its product of digits (677376) is a multiple of the sum of its prime factors (168).
It is a junction number, because it is equal to n+sod(n) for n = 47738894 and 47738903.
It is not an unprimeable number, because it can be changed into a prime (47738947) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575127 + ... + 575209.
It is an arithmetic number, because the mean of its divisors is an integer number (1005840).
Almost surely, 247738944 is an apocalyptic number.
47738944 is a gapful number since it is divisible by the number (44) 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 47738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).
47738944 is an abundant number, since it is smaller than the sum of its proper divisors (64915136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47738944 is a wasteful number, since it uses less digits than its factorization.
47738944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 158 counting only the distinct ones).
The product of its digits is 677376, while the sum is 46.
The square root of 47738944 is about 6909.3374501467. The cubic root of 47738944 is about 362.7640729805.
The spelling of 47738944 in words is "forty-seven million, seven hundred thirty-eight thousand, nine hundred forty-four".
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