Base | Representation |
---|---|
bin | 1010111110010… |
… | …0110110100000 |
3 | 10012121101000000 |
4 | 2233210312200 |
5 | 43240314034 |
6 | 4322300000 |
7 | 1066134003 |
oct | 257446640 |
9 | 105541000 |
10 | 46026144 |
11 | 23a8713a |
12 | 134b7600 |
13 | 96c6708 |
14 | 618153a |
15 | 4092599 |
hex | 2be4da0 |
46026144 has 84 divisors (see below), whose sum is σ = 135927666. Its totient is φ = 15334272.
The previous prime is 46026137. The next prime is 46026163. The reversal of 46026144 is 44162064.
46026144 is a `hidden beast` number, since 46 + 0 + 2 + 614 + 4 = 666.
46026144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 43401744 + 2624400 = 6588^2 + 1620^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 13 ways as a sum of consecutive naturals, for example, 22342 + ... + 24314.
Almost surely, 246026144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67963833).
46026144 is an abundant number, since it is smaller than the sum of its proper divisors (89901522).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46026144 is an equidigital number, since it uses as much as digits as its factorization.
46026144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2001 (or 1978 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 46026144 is about 6784.2570706010. The cubic root of 46026144 is about 358.3726548280.
The spelling of 46026144 in words is "forty-six million, twenty-six thousand, one hundred forty-four".
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