| Base | Representation |
|---|---|
| bin | 1011010011110… |
| … | …1010101100000 |
| 3 | 10022021001112120 |
| 4 | 2310331111200 |
| 5 | 44120442102 |
| 6 | 4412424240 |
| 7 | 1114131510 |
| oct | 264752540 |
| 9 | 108231476 |
| 10 | 47437152 |
| 11 | 24860264 |
| 12 | 13a78080 |
| 13 | 9a9ba29 |
| 14 | 642b840 |
| 15 | 42706bc |
| hex | 2d3d560 |
47437152 has 96 divisors (see below), whose sum is σ = 144410112. Its totient is φ = 13353984.
The previous prime is 47437151. The next prime is 47437163. The reversal of 47437152 is 25173474.
47437152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×474371522 = 4500566779742208, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47437151) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 48573 + ... + 49539.
It is an arithmetic number, because the mean of its divisors is an integer number (1504272).
Almost surely, 247437152 is an apocalyptic number.
47437152 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 47437152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72205056).
47437152 is an abundant number, since it is smaller than the sum of its proper divisors (96972960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47437152 is a wasteful number, since it uses less digits than its factorization.
47437152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).
The product of its digits is 23520, while the sum is 33.
The square root of 47437152 is about 6887.4633937321. The cubic root of 47437152 is about 361.9980260975.
The spelling of 47437152 in words is "forty-seven million, four hundred thirty-seven thousand, one hundred fifty-two".
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