Search a number
-
+
42422535 = 3451937149
BaseRepresentation
bin1010000111010…
…1000100000111
32221211021210000
42201311010013
541330010120
64113132343
71023404601
oct241650407
987737700
1042422535
1121a45751
121225a0b3
138a343bc
1458c4171
153ace990
hex2875107

42422535 has 80 divisors (see below), whose sum is σ = 82764000. Its totient is φ = 20715264.

The previous prime is 42422533. The next prime is 42422581. The reversal of 42422535 is 53522424.

It is a happy number.

It is not a de Polignac number, because 42422535 - 21 = 42422533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42422499 and 42422508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284641 + ... + 284789.

It is an arithmetic number, because the mean of its divisors is an integer number (1034550).

Almost surely, 242422535 is an apocalyptic number.

42422535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42422535 is a deficient number, since it is larger than the sum of its proper divisors (40341465).

42422535 is a wasteful number, since it uses less digits than its factorization.

42422535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 42422535 is about 6513.2584011384. The cubic root of 42422535 is about 348.7644461584.

Adding to 42422535 its reverse (53522424), we get a palindrome (95944959).

The spelling of 42422535 in words is "forty-two million, four hundred twenty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 37 45 57 81 95 111 135 149 171 185 285 333 405 447 513 555 703 745 855 999 1341 1539 1665 2109 2235 2565 2831 2997 3515 4023 4995 5513 6327 6705 7695 8493 10545 12069 14155 14985 16539 18981 20115 25479 27565 31635 42465 49617 56943 60345 76437 82695 94905 104747 127395 148851 229311 248085 284715 314241 382185 446553 523735 744255 942723 1146555 1571205 2232765 2828169 4713615 8484507 14140845 42422535