Search a number
-
+
42183963 = 3331101499
BaseRepresentation
bin1010000011101…
…0110100011011
32221101011112000
42200322310123
541244341323
64104052043
71021362213
oct240726433
987334460
1042183963
11218a2488
1212164023
13897c933
145861243
153a83e43
hex283ad1b

42183963 has 32 divisors (see below), whose sum is σ = 65280000. Its totient is φ = 26892000.

The previous prime is 42183961. The next prime is 42183991. The reversal of 42183963 is 36938124.

42183963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42183963 - 21 = 42183961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42183961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84288 + ... + 84786.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000).

Almost surely, 242183963 is an apocalyptic number.

42183963 is a deficient number, since it is larger than the sum of its proper divisors (23096037).

42183963 is a wasteful number, since it uses less digits than its factorization.

42183963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42183963 is about 6494.9182442891. The cubic root of 42183963 is about 348.1094334789.

The spelling of 42183963 in words is "forty-two million, one hundred eighty-three thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 31 93 101 279 303 499 837 909 1497 2727 3131 4491 9393 13473 15469 28179 46407 50399 84537 139221 151197 417663 453591 1360773 1562369 4687107 14061321 42183963