Search a number
-
+
42529940 = 2256133469
BaseRepresentation
bin1010001000111…
…1010010010100
32222000202002222
42202033102110
541341424230
64115321512
71024332665
oct242172224
988022088
1042529940
1122009412
12122b0298
138a7125b
14591136c
153b016e5
hex288f494

42529940 has 24 divisors (see below), whose sum is σ = 89484360. Its totient is φ = 16979328.

The previous prime is 42529933. The next prime is 42529943. The reversal of 42529940 is 4992524.

42529940 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 5026564 + 37503376 = 2242^2 + 6124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42529940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42529943) 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 7 ways as a sum of consecutive naturals, for example, 10526 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (3728515).

Almost surely, 242529940 is an apocalyptic number.

It is an amenable number.

42529940 is an abundant number, since it is smaller than the sum of its proper divisors (46954420).

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

42529940 is a wasteful number, since it uses less digits than its factorization.

42529940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 42529940 is about 6521.4982941039. The cubic root of 42529940 is about 349.0585310271.

The spelling of 42529940 in words is "forty-two million, five hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 3469 6130 6938 12260 13876 17345 34690 69380 2126497 4252994 8505988 10632485 21264970 42529940