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42205331 = 753113761
BaseRepresentation
bin1010000100000…
…0000010010011
32221102020211102
42201000002103
541301032311
64104335015
71021511420
oct241000223
987366742
1042205331
1121907543
121217446b
13898958c
145868d47
153a8a43b
hex2840093

42205331 has 8 divisors (see below), whose sum is σ = 49145184. Its totient is φ = 35493120.

The previous prime is 42205309. The next prime is 42205337. The reversal of 42205331 is 13350224.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42205331 is a prime.

It is a super-2 number, since 2×422053312 = 3562579929639122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42205337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56510 + ... + 57251.

It is an arithmetic number, because the mean of its divisors is an integer number (6143148).

Almost surely, 242205331 is an apocalyptic number.

42205331 is a deficient number, since it is larger than the sum of its proper divisors (6939853).

42205331 is a wasteful number, since it uses less digits than its factorization.

42205331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113821.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42205331 is about 6496.5630143946. The cubic root of 42205331 is about 348.1682010471.

Adding to 42205331 its reverse (13350224), we get a palindrome (55555555).

The spelling of 42205331 in words is "forty-two million, two hundred five thousand, three hundred thirty-one".

Divisors: 1 7 53 371 113761 796327 6029333 42205331