Search a number
-
+
42960984 = 23311162731
BaseRepresentation
bin1010001111100…
…0100001011000
32222211122101120
42203320201120
541444222414
64132445240
71031106453
oct243704130
988748346
1042960984
1122283250
1212479820
138b92501
1459c449a
153b892a9
hex28f8858

42960984 has 32 divisors (see below), whose sum is σ = 117167040. Its totient is φ = 13018400.

The previous prime is 42960949. The next prime is 42960997. The reversal of 42960984 is 48906924.

It is a super-2 number, since 2×429609842 = 3691292292496512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81102 + ... + 81629.

It is an arithmetic number, because the mean of its divisors is an integer number (3661470).

Almost surely, 242960984 is an apocalyptic number.

42960984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42960984 is an abundant number, since it is smaller than the sum of its proper divisors (74206056).

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

42960984 is a wasteful number, since it uses less digits than its factorization.

42960984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162751 (or 162747 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42960984 is about 6554.4629070581. The cubic root of 42960984 is about 350.2338138364.

The spelling of 42960984 in words is "forty-two million, nine hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 162731 325462 488193 650924 976386 1301848 1790041 1952772 3580082 3905544 5370123 7160164 10740246 14320328 21480492 42960984