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42240276 = 223213432099
BaseRepresentation
bin1010000100100…
…0100100010100
32221111000202200
42201020210110
541303142101
64105204500
71022015331
oct241104424
987430680
1042240276
1121930821
1212190730
13899c460
145877988
153a95986
hex2848914

42240276 has 72 divisors (see below), whose sum is σ = 117717600. Its totient is φ = 12688704.

The previous prime is 42240271. The next prime is 42240307. The reversal of 42240276 is 67204224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19075 + ... + 21173.

Almost surely, 242240276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58858800).

42240276 is an abundant number, since it is smaller than the sum of its proper divisors (75477324).

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

42240276 is a wasteful number, since it uses less digits than its factorization.

42240276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42240276 is about 6499.2519569563. The cubic root of 42240276 is about 348.2642661738.

The spelling of 42240276 in words is "forty-two million, two hundred forty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2099 2236 3354 4198 5031 6297 6708 8396 10062 12594 18891 20124 25188 27287 37782 54574 75564 81861 90257 109148 163722 180514 245583 270771 327444 361028 491166 541542 812313 982332 1083084 1173341 1624626 2346682 3249252 3520023 4693364 7040046 10560069 14080092 21120138 42240276