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42272778 = 23172931461
BaseRepresentation
bin1010000101000…
…0100000001010
32221112200100110
42201100200022
541310212103
64110015150
71022212152
oct241204012
987480313
1042272778
1121953189
12121a74b6
1389b11a2
145885762
153aa0403
hex285080a

42272778 has 64 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 12364800.

The previous prime is 42272771. The next prime is 42272801. The reversal of 42272778 is 87727224.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42272771) 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 31 ways as a sum of consecutive naturals, for example, 91468 + ... + 91928.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 242272778 is an apocalyptic number.

42272778 is an abundant number, since it is smaller than the sum of its proper divisors (53527542).

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

42272778 is a wasteful number, since it uses less digits than its factorization.

42272778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 87808, while the sum is 39.

The square root of 42272778 is about 6501.7519177526. The cubic root of 42272778 is about 348.3535678566.

The spelling of 42272778 in words is "forty-two million, two hundred seventy-two thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 17 29 31 34 51 58 62 87 93 102 174 186 461 493 527 899 922 986 1054 1383 1479 1581 1798 2697 2766 2958 3162 5394 7837 13369 14291 15283 15674 23511 26738 28582 30566 40107 42873 45849 47022 80214 85746 91698 227273 242947 414439 454546 485894 681819 728841 828878 1243317 1363638 1457682 2486634 7045463 14090926 21136389 42272778