Base | Representation |
---|---|
bin | 1010111101101… |
… | …0101111101000 |
3 | 10012112021012200 |
4 | 2233122233220 |
5 | 43233002434 |
6 | 4321340200 |
7 | 1065602211 |
oct | 257325750 |
9 | 105467180 |
10 | 45984744 |
11 | 23a59023 |
12 | 13497660 |
13 | 96b0910 |
14 | 6170408 |
15 | 4085199 |
hex | 2bdabe8 |
45984744 has 96 divisors (see below), whose sum is σ = 136161480. Its totient is φ = 13934592.
The previous prime is 45984737. The next prime is 45984781. The reversal of 45984744 is 44748954.
It can be written as a sum of positive squares in 4 ways, for example, as 29484900 + 16499844 = 5430^2 + 4062^2 .
It is a super-2 number, since 2×459847442 = 4229193361491072, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 45984744.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67992 + ... + 68664.
Almost surely, 245984744 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 45984744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68080740).
45984744 is an abundant number, since it is smaller than the sum of its proper divisors (90176736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45984744 is a wasteful number, since it uses less digits than its factorization.
45984744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 771 (or 764 counting only the distinct ones).
The product of its digits is 645120, while the sum is 45.
The square root of 45984744 is about 6781.2052026170. The cubic root of 45984744 is about 358.2651718679.
The spelling of 45984744 in words is "forty-five million, nine hundred eighty-four thousand, seven hundred forty-four".
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