Base | Representation |
---|---|
bin | 1011000000111… |
… | …1011101000000 |
3 | 10012221020100211 |
4 | 2300033131000 |
5 | 43311410030 |
6 | 4330123504 |
7 | 1100461513 |
oct | 260173500 |
9 | 105836324 |
10 | 46200640 |
11 | 24096252 |
12 | 13580594 |
13 | 9757c75 |
14 | 61c8d7a |
15 | 40c912a |
hex | 2c0f740 |
46200640 has 56 divisors (see below), whose sum is σ = 110596680. Its totient is φ = 18382848.
The previous prime is 46200617. The next prime is 46200641. The reversal of 46200640 is 4600264.
It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 34857216 = 3368^2 + 5904^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46200641) by changing a digit.
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, 112756 + ... + 113164.
Almost surely, 246200640 is an apocalyptic number.
46200640 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 46200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55298340).
46200640 is an abundant number, since it is smaller than the sum of its proper divisors (64396040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46200640 is a wasteful number, since it uses less digits than its factorization.
46200640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 779 (or 769 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 46200640 is about 6797.1052662144. The cubic root of 46200640 is about 358.8249755278.
The spelling of 46200640 in words is "forty-six million, two hundred thousand, six hundred forty".
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