Base | Representation |
---|---|
bin | 1010111111000… |
… | …0011000010000 |
3 | 10012200202202202 |
4 | 2233300120100 |
5 | 43243321420 |
6 | 4323302332 |
7 | 1066421444 |
oct | 257603020 |
9 | 105622682 |
10 | 46073360 |
11 | 24009663 |
12 | 1351a9a8 |
13 | 9712058 |
14 | 6194824 |
15 | 40a1575 |
hex | 2bf0610 |
46073360 has 40 divisors (see below), whose sum is σ = 107772120. Its totient is φ = 18317312.
The previous prime is 46073323. The next prime is 46073387. The reversal of 46073360 is 6337064.
It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 35236096 = 3292^2 + 5936^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 12176 + ... + 15504.
It is an arithmetic number, because the mean of its divisors is an integer number (2694303).
Almost surely, 246073360 is an apocalyptic number.
46073360 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 46073360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53886060).
46073360 is an abundant number, since it is smaller than the sum of its proper divisors (61698760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46073360 is a wasteful number, since it uses less digits than its factorization.
46073360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3515 (or 3509 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 29.
The square root of 46073360 is about 6787.7359995804. The cubic root of 46073360 is about 358.4951586847.
The spelling of 46073360 in words is "forty-six million, seventy-three thousand, three hundred sixty".
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