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42269292 = 223213181499
BaseRepresentation
bin1010000100111…
…1101001101100
32221112111120100
42201033221230
541310104132
64105551100
71022166042
oct241175154
987474510
1042269292
11219505aa
12121a5490
1389ac720
145884392
153a9e37c
hex284fa6c

42269292 has 72 divisors (see below), whose sum is σ = 115934000. Its totient is φ = 12908160.

The previous prime is 42269287. The next prime is 42269299. The reversal of 42269292 is 29296224.

It is a happy number.

42269292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42269299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84459 + ... + 84957.

Almost surely, 242269292 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 42269292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967000).

42269292 is an abundant number, since it is smaller than the sum of its proper divisors (73664708).

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

42269292 is a wasteful number, since it uses less digits than its factorization.

42269292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42269292 is about 6501.4838306344. The cubic root of 42269292 is about 348.3439920021.

The spelling of 42269292 in words is "forty-two million, two hundred sixty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 499 543 724 998 1086 1497 1629 1996 2172 2353 2994 3258 4491 4706 5988 6487 6516 7059 8982 9412 12974 14118 17964 19461 21177 25948 28236 38922 42354 58383 77844 84708 90319 116766 180638 233532 270957 361276 541914 812871 1083828 1174147 1625742 2348294 3251484 3522441 4696588 7044882 10567323 14089764 21134646 42269292