Base | Representation |
---|---|
bin | 1011001100010… |
… | …1111011110000 |
3 | 10021100012122210 |
4 | 2303011323300 |
5 | 44004314310 |
6 | 4354132120 |
7 | 1110023604 |
oct | 263057360 |
9 | 107305583 |
10 | 46948080 |
11 | 24556873 |
12 | 13881040 |
13 | 995a23a |
14 | 6341504 |
15 | 41c5820 |
hex | 2cc5ef0 |
46948080 has 80 divisors (see below), whose sum is σ = 146419200. Its totient is φ = 12443904.
The previous prime is 46948019. The next prime is 46948081. The reversal of 46948080 is 8084964.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46948081) 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, 47269 + ... + 48251.
It is an arithmetic number, because the mean of its divisors is an integer number (1830240).
Almost surely, 246948080 is an apocalyptic number.
46948080 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 46948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).
46948080 is an abundant number, since it is smaller than the sum of its proper divisors (99471120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46948080 is a wasteful number, since it uses less digits than its factorization.
46948080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 39.
The square root of 46948080 is about 6851.8668988824. The cubic root of 46948080 is about 360.7496723492.
The spelling of 46948080 in words is "forty-six million, nine hundred forty-eight thousand, eighty".
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