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42272251 = 7217311637
BaseRepresentation
bin1010000101000…
…0010111111011
32221112122121221
42201100113323
541310203001
64110012511
71022210500
oct241202773
987478557
1042272251
112195284a
12121a7137
1389b0b88
1458854a7
153aa01a1
hex28505fb

42272251 has 24 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 32981760.

The previous prime is 42272239. The next prime is 42272273. The reversal of 42272251 is 15227224.

42272251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42272251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42272201) 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 23 ways as a sum of consecutive naturals, for example, 25005 + ... + 26641.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 242272251 is an apocalyptic number.

42272251 is a deficient number, since it is larger than the sum of its proper divisors (11506565).

42272251 is a wasteful number, since it uses less digits than its factorization.

42272251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its digits is 2240, while the sum is 25.

The square root of 42272251 is about 6501.7113900880. The cubic root of 42272251 is about 348.3521202497.

Adding to 42272251 its reverse (15227224), we get a palindrome (57499475).

The spelling of 42272251 in words is "forty-two million, two hundred seventy-two thousand, two hundred fifty-one".

Divisors: 1 7 17 31 49 119 217 527 833 1519 1637 3689 11459 25823 27829 50747 80213 194803 355229 862699 1363621 2486603 6038893 42272251