Base | Representation |
---|---|
bin | 10111111111001… |
… | …100111111000000 |
3 | 1001001021021200122 |
4 | 113333030333000 |
5 | 1311011203344 |
6 | 103533435412 |
7 | 12654501530 |
oct | 2777147700 |
9 | 1031237618 |
10 | 402444224 |
11 | 197195336 |
12 | b293bb68 |
13 | 654b8ca0 |
14 | 3b63d4c0 |
15 | 254e7aee |
hex | 17fccfc0 |
402444224 has 112 divisors (see below), whose sum is σ = 1006376448. Its totient is φ = 155409408.
The previous prime is 402444193. The next prime is 402444239. The reversal of 402444224 is 422444204.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×4024442242 = 323922706861924352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 402444193 and 402444202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249629 + ... + 251235.
It is an arithmetic number, because the mean of its divisors is an integer number (8985504).
Almost surely, 2402444224 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 402444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503188224).
402444224 is an abundant number, since it is smaller than the sum of its proper divisors (603932224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402444224 is a wasteful number, since it uses less digits than its factorization.
402444224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 26.
The square root of 402444224 is about 20061.0125367590. The cubic root of 402444224 is about 738.3040195899.
Adding to 402444224 its reverse (422444204), we get a palindrome (824888428).
The spelling of 402444224 in words is "four hundred two million, four hundred forty-four thousand, two hundred twenty-four".
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