Base | Representation |
---|---|
bin | 1110111010101000… |
… | …1101010111101100 |
3 | 101100001022102100000 |
4 | 3232222031113230 |
5 | 31200013322340 |
6 | 1501152304300 |
7 | 201136540323 |
oct | 35652152754 |
9 | 11301272300 |
10 | 4004042220 |
11 | 17751a5202 |
12 | 938b42090 |
13 | 4ba708569 |
14 | 29dac70ba |
15 | 1867c2d30 |
hex | eea8d5ec |
4004042220 has 72 divisors (see below), whose sum is σ = 12595446864. Its totient is φ = 1067743296.
The previous prime is 4004042191. The next prime is 4004042221. The reversal of 4004042220 is 222404004.
4004042220 is a `hidden beast` number, since 40 + 0 + 404 + 2 + 220 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 4004042193 and 4004042202.
It is not an unprimeable number, because it can be changed into a prime (4004042221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407079 + ... + 416798.
It is an arithmetic number, because the mean of its divisors is an integer number (174936762).
Almost surely, 24004042220 is an apocalyptic number.
It is an amenable number.
4004042220 is an abundant number, since it is smaller than the sum of its proper divisors (8591404644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4004042220 is a wasteful number, since it uses less digits than its factorization.
4004042220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 823901 (or 823887 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 4004042220 is about 63277.5016889890. The cubic root of 4004042220 is about 1587.9355906384.
Adding to 4004042220 its reverse (222404004), we get a palindrome (4226446224).
The spelling of 4004042220 in words is "four billion, four million, forty-two thousand, two hundred twenty".
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