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42272641 = 532101149
BaseRepresentation
bin1010000101000…
…0011110000001
32221112200011101
42201100132001
541310211031
64110014401
71022211565
oct241203601
987480141
1042272641
1121953074
12121a7401
1389b10c8
1458856a5
153aa0361
hex2850781

42272641 has 12 divisors (see below), whose sum is σ = 43803900. Its totient is φ = 40788800.

The previous prime is 42272639. The next prime is 42272651. The reversal of 42272641 is 14627224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3783025 + 38489616 = 1945^2 + 6204^2 .

It is not a de Polignac number, because 42272641 - 21 = 42272639 is a prime.

It is a super-2 number, since 2×422726412 = 3573952354229762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42272651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283635 + ... + 283783.

It is an arithmetic number, because the mean of its divisors is an integer number (3650325).

Almost surely, 242272641 is an apocalyptic number.

It is an amenable number.

42272641 is a deficient number, since it is larger than the sum of its proper divisors (1531259).

42272641 is a wasteful number, since it uses less digits than its factorization.

42272641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 303 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 42272641 is about 6501.7413821222. The cubic root of 42272641 is about 348.3531915349.

Adding to 42272641 its reverse (14627224), we get a palindrome (56899865).

The spelling of 42272641 in words is "forty-two million, two hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 53 101 149 2809 5353 7897 15049 283709 418541 797597 42272641