Search a number
-
+
2622042 = 2323137127
BaseRepresentation
bin1010000000001001011010
311221012202200
422000021122
51132401132
6132111030
731200303
oct12001132
94835680
102622042
111530a85
12a65476
1370a607
144c37aa
1536bd7c
hex28025a

2622042 has 48 divisors (see below), whose sum is σ = 6070272. Its totient is φ = 816480.

The previous prime is 2622031. The next prime is 2622049. The reversal of 2622042 is 2402262.

It is a happy number.

2622042 is a `hidden beast` number, since 2 + 622 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2 + 63 + 27 + 219 + 0 + 44 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2622049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20583 + ... + 20709.

It is an arithmetic number, because the mean of its divisors is an integer number (126464).

22622042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2622042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035136).

2622042 is an abundant number, since it is smaller than the sum of its proper divisors (3448230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2622042 is a wasteful number, since it uses less digits than its factorization.

2622042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2622042 is about 1619.2720586733. The cubic root of 2622042 is about 137.8943741205.

It can be divided in two parts, 26220 and 42, that added together give a palindrome (26262).

The spelling of 2622042 in words is "two million, six hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 127 186 222 254 279 333 381 558 666 762 1143 1147 2286 2294 3441 3937 4699 6882 7874 9398 10323 11811 14097 20646 23622 28194 35433 42291 70866 84582 145669 291338 437007 874014 1311021 2622042