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2404242 = 2361797
BaseRepresentation
bin1001001010111110010010
311112011000000
421022332102
51103413432
6123310430
726302311
oct11127622
94464000
102404242
1113a2385
1297b416
13662439
14468278
1532757c
hex24af92

2404242 has 56 divisors (see below), whose sum is σ = 5784156. Its totient is φ = 746496.

The previous prime is 2404229. The next prime is 2404247. The reversal of 2404242 is 2424042.

2404242 is a `hidden beast` number, since 240 + 424 + 2 = 666.

2404242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2368521 + 35721 = 1539^2 + 189^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2404247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24738 + ... + 24834.

22404242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892078).

2404242 is an abundant number, since it is smaller than the sum of its proper divisors (3379914).

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

2404242 is an equidigital number, since it uses as much as digits as its factorization.

2404242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2404242 is about 1550.5618336590. The cubic root of 2404242 is about 133.9654251036.

Adding to 2404242 its reverse (2424042), we get a palindrome (4828284).

The spelling of 2404242 in words is "two million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 97 102 153 162 194 243 291 306 459 486 582 729 873 918 1377 1458 1649 1746 2619 2754 3298 4131 4947 5238 7857 8262 9894 12393 14841 15714 23571 24786 29682 44523 47142 70713 89046 133569 141426 267138 400707 801414 1202121 2404242