Base | Representation |
---|---|
bin | 1000001110011101… |
… | …10011111101010000 |
3 | 102101210000210212000 |
4 | 10013032303331100 |
5 | 33021032300030 |
6 | 2010120234000 |
7 | 214303564626 |
oct | 40716637520 |
9 | 12353023760 |
10 | 4416290640 |
11 | 1966976583 |
12 | a3300b900 |
13 | 554c47c38 |
14 | 2dc759516 |
15 | 1acaa5860 |
hex | 1073b3f50 |
4416290640 has 160 divisors (see below), whose sum is σ = 15259320960. Its totient is φ = 1173989376.
The previous prime is 4416290633. The next prime is 4416290647. The reversal of 4416290640 is 460926144.
4416290640 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 2 + 9 + 0 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (4416290633) and next prime (4416290647).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4416290595 and 4416290604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4416290647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724887 + ... + 730953.
It is an arithmetic number, because the mean of its divisors is an integer number (95370756).
Almost surely, 24416290640 is an apocalyptic number.
4416290640 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 4416290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629660480).
4416290640 is an abundant number, since it is smaller than the sum of its proper divisors (10843030320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4416290640 is a wasteful number, since it uses less digits than its factorization.
4416290640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 4416290640 is about 66455.1776763858. The cubic root of 4416290640 is about 1640.6623638185.
The spelling of 4416290640 in words is "four billion, four hundred sixteen million, two hundred ninety thousand, six hundred forty".
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