Base | Representation |
---|---|
bin | 11011001010100… |
… | …001001110101010 |
3 | 1011202120010000100 |
4 | 123022201032222 |
5 | 1413132224003 |
6 | 113120050230 |
7 | 14202513660 |
oct | 3312411652 |
9 | 1152503010 |
10 | 455742378 |
11 | 214288aa3 |
12 | 108763976 |
13 | 7355a660 |
14 | 44754c30 |
15 | 2a024ba3 |
hex | 1b2a13aa |
455742378 has 96 divisors (see below), whose sum is σ = 1268257536. Its totient is φ = 114960384.
The previous prime is 455742367. The next prime is 455742403. The reversal of 455742378 is 873247554.
455742378 is a `hidden beast` number, since 4 + 5 + 574 + 2 + 3 + 78 = 666.
It is a super-3 number, since 3×4557423783 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31626 + ... + 43722.
It is an arithmetic number, because the mean of its divisors is an integer number (13211016).
Almost surely, 2455742378 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 455742378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634128768).
455742378 is an abundant number, since it is smaller than the sum of its proper divisors (812515158).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
455742378 is a wasteful number, since it uses less digits than its factorization.
455742378 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12148 (or 12145 counting only the distinct ones).
The product of its digits is 940800, while the sum is 45.
The square root of 455742378 is about 21348.1235240946. The cubic root of 455742378 is about 769.5552488681. Note that the first 3 decimals are identical.
The spelling of 455742378 in words is "four hundred fifty-five million, seven hundred forty-two thousand, three hundred seventy-eight".
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