Search a number
-
+
42256962 = 23211457467
BaseRepresentation
bin1010000100110…
…0101001000010
32221111212122200
42201030221002
541304210322
64105414030
71022115066
oct241145102
987455580
1042256962
1121942310
121219a316
1389a6c27
14587daa6
153a9a8ac
hex284ca42

42256962 has 48 divisors (see below), whose sum is σ = 100312992. Its totient is φ = 12749760.

The previous prime is 42256961. The next prime is 42257027. The reversal of 42256962 is 26965224.

It is not an unprimeable number, because it can be changed into a prime (42256961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90253 + ... + 90719.

It is an arithmetic number, because the mean of its divisors is an integer number (2089854).

Almost surely, 242256962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50156496).

42256962 is an abundant number, since it is smaller than the sum of its proper divisors (58056030).

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

42256962 is a wasteful number, since it uses less digits than its factorization.

42256962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 940 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42256962 is about 6500.5355164017. The cubic root of 42256962 is about 348.3101179301.

The spelling of 42256962 in words is "forty-two million, two hundred fifty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 457 467 914 934 1371 1401 2742 2802 4113 4203 5027 5137 8226 8406 10054 10274 15081 15411 30162 30822 45243 46233 90486 92466 213419 426838 640257 1280514 1920771 2347609 3841542 4695218 7042827 14085654 21128481 42256962