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42271242 = 23133797151
BaseRepresentation
bin1010000101000…
…0001000001010
32221112121020120
42201100020022
541310134432
64110004110
71022204526
oct241201012
987477216
1042271242
1121952012
12121a6636
1389b0590
145884d86
153a9ec2c
hex285020a

42271242 has 64 divisors (see below), whose sum is σ = 95096064. Its totient is φ = 12441600.

The previous prime is 42271237. The next prime is 42271247. The reversal of 42271242 is 24217224.

It is an interprime number because it is at equal distance from previous prime (42271237) and next prime (42271247).

It is not an unprimeable number, because it can be changed into a prime (42271247) 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, 279867 + ... + 280017.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 242271242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42271242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548032).

42271242 is an abundant number, since it is smaller than the sum of its proper divisors (52824822).

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

42271242 is a wasteful number, since it uses less digits than its factorization.

42271242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 1792, while the sum is 24.

The square root of 42271242 is about 6501.6337946704. The cubic root of 42271242 is about 348.3493486121.

Adding to 42271242 its reverse (24217224), we get a palindrome (66488466).

The spelling of 42271242 in words is "forty-two million, two hundred seventy-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 97 111 151 194 222 291 302 453 481 582 906 962 1261 1443 1963 2522 2886 3589 3783 3926 5587 5889 7178 7566 10767 11174 11778 14647 16761 21534 29294 33522 43941 46657 72631 87882 93314 139971 145262 190411 217893 279942 380822 435786 541939 571233 1083878 1142466 1625817 3251634 7045207 14090414 21135621 42271242