| Base | Representation |
|---|---|
| bin | 1011001101100… |
| … | …0011010100000 |
| 3 | 10021111001111100 |
| 4 | 2303120122200 |
| 5 | 44014230101 |
| 6 | 4355514400 |
| 7 | 1110460362 |
| oct | 263303240 |
| 9 | 107431440 |
| 10 | 47023776 |
| 11 | 245a8728 |
| 12 | 138b8a00 |
| 13 | 9985827 |
| 14 | 6360d32 |
| 15 | 41dce86 |
| hex | 2cd86a0 |
47023776 has 144 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 14446080.
The previous prime is 47023763. The next prime is 47023777. The reversal of 47023776 is 67732074.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×470237762 = 4422471018596352, which contains 22 as substring.
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 47023776.
It is not an unprimeable number, because it can be changed into a prime (47023777) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205230 + ... + 205458.
It is an arithmetic number, because the mean of its divisors is an integer number (1004640).
Almost surely, 247023776 is an apocalyptic number.
47023776 is a gapful number since it is divisible by the number (46) 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 47023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).
47023776 is an abundant number, since it is smaller than the sum of its proper divisors (97644384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47023776 is a wasteful number, since it uses less digits than its factorization.
47023776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 49392, while the sum is 36.
The square root of 47023776 is about 6857.3884241743. The cubic root of 47023776 is about 360.9434512652.
The spelling of 47023776 in words is "forty-seven million, twenty-three thousand, seven hundred seventy-six".
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