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42052962 = 2374124421
BaseRepresentation
bin1010000001101…
…0110101100010
32221010111211010
42200122311202
541231143322
64101201350
71020305250
oct240326542
987114733
1042052962
1121813016
1212100256
138935113
1458295d0
153a5a20c
hex281ad62

42052962 has 32 divisors (see below), whose sum is σ = 98469504. Its totient is φ = 11721600.

The previous prime is 42052961. The next prime is 42053041. The reversal of 42052962 is 26925024.

It is a super-2 number, since 2×420529622 = 3536903225946888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42052961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10489 + ... + 13932.

It is an arithmetic number, because the mean of its divisors is an integer number (3077172).

Almost surely, 242052962 is an apocalyptic number.

42052962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42052962 is an abundant number, since it is smaller than the sum of its proper divisors (56416542).

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

42052962 is a wasteful number, since it uses less digits than its factorization.

42052962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24474.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42052962 is about 6484.8255180845. The cubic root of 42052962 is about 347.7487121038.

Adding to 42052962 its reverse (26925024), we get a palindrome (68977986).

The spelling of 42052962 in words is "forty-two million, fifty-two thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 24421 48842 73263 146526 170947 341894 512841 1001261 1025682 2002522 3003783 6007566 7008827 14017654 21026481 42052962