Search a number
-
+
42961446 = 23211613557
BaseRepresentation
bin1010001111100…
…0101000100110
32222211200000200
42203320220212
541444231241
64132451330
71031111013
oct243705046
988750020
1042961446
1122283630
1212479b46
138b92798
1459c470a
153b894b6
hex28f8a26

42961446 has 48 divisors (see below), whose sum is σ = 103238928. Its totient is φ = 12801600.

The previous prime is 42961427. The next prime is 42961453. The reversal of 42961446 is 64416924.

It is a self number, because there is not a number n which added to its sum of digits gives 42961446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10300 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (2150811).

Almost surely, 242961446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42961446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51619464).

42961446 is an abundant number, since it is smaller than the sum of its proper divisors (60277482).

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

42961446 is a wasteful number, since it uses less digits than its factorization.

42961446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42961446 is about 6554.4981501256. The cubic root of 42961446 is about 350.2350692968.

The spelling of 42961446 in words is "forty-two million, nine hundred sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 3557 4026 6039 7114 10671 12078 21342 32013 39127 64026 78254 117381 216977 234762 352143 433954 650931 704286 1301862 1952793 2386747 3905586 4773494 7160241 14320482 21480723 42961446