Search a number
-
+
42532245 = 3257219289
BaseRepresentation
bin1010001000111…
…1110110010101
32222000212021100
42202033312111
541342012440
64115340313
71024342500
oct242176625
988025240
1042532245
1122010118
12122b1699
138a72312
145912137
153b02230
hex288fd95

42532245 has 36 divisors (see below), whose sum is σ = 85763340. Its totient is φ = 19442304.

The previous prime is 42532219. The next prime is 42532247. The reversal of 42532245 is 54223524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 20007729 = 4746^2 + 4473^2 .

It is not a de Polignac number, because 42532245 - 25 = 42532213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7440 + ... + 11849.

It is an arithmetic number, because the mean of its divisors is an integer number (2382315).

Almost surely, 242532245 is an apocalyptic number.

42532245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42532245 is an abundant number, since it is smaller than the sum of its proper divisors (43231095).

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

42532245 is a wasteful number, since it uses less digits than its factorization.

42532245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19314 (or 19304 counting only the distinct ones).

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

The square root of 42532245 is about 6521.6750149022. The cubic root of 42532245 is about 349.0648369015.

Adding to 42532245 its reverse (54223524), we get a palindrome (96755769).

The spelling of 42532245 in words is "forty-two million, five hundred thirty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 19289 57867 96445 135023 173601 289335 405069 675115 868005 945161 1215207 2025345 2835483 4725805 6076035 8506449 14177415 42532245