Base | Representation |
---|---|
bin | 1011001101111… |
… | …1110001100000 |
3 | 10021112120211210 |
4 | 2303133301200 |
5 | 44021211140 |
6 | 4400310120 |
7 | 1110644304 |
oct | 263376140 |
9 | 107476753 |
10 | 47053920 |
11 | 24619341 |
12 | 13912340 |
13 | 9996474 |
14 | 636bd04 |
15 | 41e6d80 |
hex | 2cdfc60 |
47053920 has 96 divisors (see below), whose sum is σ = 149361408. Its totient is φ = 12451328.
The previous prime is 47053913. The next prime is 47053927. The reversal of 47053920 is 2935074.
It is an interprime number because it is at equal distance from previous prime (47053913) and next prime (47053927).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47053927) 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, 79867 + ... + 80453.
It is an arithmetic number, because the mean of its divisors is an integer number (1555848).
Almost surely, 247053920 is an apocalyptic number.
47053920 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 47053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704).
47053920 is an abundant number, since it is smaller than the sum of its proper divisors (102307488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47053920 is a wasteful number, since it uses less digits than its factorization.
47053920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 772 (or 764 counting only the distinct ones).
The product of its (nonzero) digits is 7560, while the sum is 30.
The square root of 47053920 is about 6859.5859933381. The cubic root of 47053920 is about 361.0205608770.
Adding to 47053920 its reverse (2935074), we get a palindrome (49988994).
The spelling of 47053920 in words is "forty-seven million, fifty-three thousand, nine hundred twenty".
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