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42238764 = 223223139367
BaseRepresentation
bin1010000100100…
…0001100101100
32221110221200200
42201020030230
541303120024
64105153500
71022011041
oct241101454
987427620
1042238764
112192a677
121218b890
13899b869
1458771c8
153a952c9
hex284832c

42238764 has 72 divisors (see below), whose sum is σ = 112519680. Its totient is φ = 13334112.

The previous prime is 42238753. The next prime is 42238789. The reversal of 42238764 is 46783224.

It is a super-2 number, since 2×422387642 = 3568226368495392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114909 + ... + 115275.

Almost surely, 242238764 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 42238764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259840).

42238764 is an abundant number, since it is smaller than the sum of its proper divisors (70280916).

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

42238764 is a wasteful number, since it uses less digits than its factorization.

42238764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42238764 is about 6499.1356348364. The cubic root of 42238764 is about 348.2601107254.

The spelling of 42238764 in words is "forty-two million, two hundred thirty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 139 207 276 278 367 414 417 556 734 828 834 1101 1251 1468 1668 2202 2502 3197 3303 4404 5004 6394 6606 8441 9591 12788 13212 16882 19182 25323 28773 33764 38364 50646 51013 57546 75969 101292 102026 115092 151938 153039 204052 303876 306078 459117 612156 918234 1173299 1836468 2346598 3519897 4693196 7039794 10559691 14079588 21119382 42238764