Base | Representation |
---|---|
bin | 1010111111001… |
… | …0010110100000 |
3 | 10012201011212000 |
4 | 2233302112200 |
5 | 43244101230 |
6 | 4323404000 |
7 | 1066454136 |
oct | 257622640 |
9 | 105634760 |
10 | 46081440 |
11 | 24014739 |
12 | 13523600 |
13 | 9715932 |
14 | 6197756 |
15 | 40a3b60 |
hex | 2bf25a0 |
46081440 has 96 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 12287232.
The previous prime is 46081381. The next prime is 46081447. The reversal of 46081440 is 4418064.
46081440 is a `hidden beast` number, since 4 + 608 + 14 + 40 = 666.
46081440 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 2×460814402 = 4246998224947200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (46081447) 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, 1014 + ... + 9653.
It is an arithmetic number, because the mean of its divisors is an integer number (1680210).
Almost surely, 246081440 is an apocalyptic number.
46081440 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 46081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).
46081440 is an abundant number, since it is smaller than the sum of its proper divisors (115218720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46081440 is a wasteful number, since it uses less digits than its factorization.
46081440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10691 (or 10677 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 46081440 is about 6788.3311645794. The cubic root of 46081440 is about 358.5161141896.
The spelling of 46081440 in words is "forty-six million, eighty-one thousand, four hundred forty".
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