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4042422224 = 2423411132371
BaseRepresentation
bin1111000011110010…
…0111011111010000
3101102201112022210122
43300330213133100
531234330002344
61505043045412
7202114010351
oct36074473720
911381468718
104042422224
111794929715
12949970868
134c5655919
142a4c37d28
15189d54aee
hexf0f277d0

4042422224 has 80 divisors (see below), whose sum is σ = 8449709184. Its totient is φ = 1868697600.

The previous prime is 4042422221. The next prime is 4042422239. The reversal of 4042422224 is 4222242404.

It is a junction number, because it is equal to n+sod(n) for n = 4042422193 and 4042422202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042422221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703759 + ... + 1706129.

Almost surely, 24042422224 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 4042422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224854592).

4042422224 is an abundant number, since it is smaller than the sum of its proper divisors (4407286960).

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

4042422224 is a wasteful number, since it uses less digits than its factorization.

4042422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4042422224 is about 63580.0458005497. The cubic root of 4042422224 is about 1592.9930863530.

Adding to 4042422224 its reverse (4222242404), we get a palindrome (8264664628).

The spelling of 4042422224 in words is "four billion, forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 113 164 184 226 328 368 452 656 904 943 1808 1886 2371 2599 3772 4633 4742 5198 7544 9266 9484 10396 15088 18532 18968 20792 37064 37936 41584 54533 74128 97211 106559 109066 194422 213118 218132 267923 388844 426236 436264 535846 777688 852472 872528 1071692 1555376 1704944 2143384 2235853 4286768 4471706 6162229 8943412 10984843 12324458 17886824 21969686 24648916 35773648 43939372 49297832 87878744 98595664 175757488 252651389 505302778 1010605556 2021211112 4042422224