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42022332 = 2232113877
BaseRepresentation
bin1010000001001…
…1010110111100
32221001221210200
42200103112330
541224203312
64100403500
71020120042
oct240232674
987057720
1042022332
11217a2000
12120a6590
1389241b1
14581c392
153a510dc
hex28135bc

42022332 has 72 divisors (see below), whose sum is σ = 116970672. Its totient is φ = 12719520.

The previous prime is 42022313. The next prime is 42022339. The reversal of 42022332 is 23322024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022339) 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, 47478 + ... + 48354.

Almost surely, 242022332 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 42022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58485336).

42022332 is an abundant number, since it is smaller than the sum of its proper divisors (74948340).

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

42022332 is a wasteful number, since it uses less digits than its factorization.

42022332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42022332 is about 6482.4634206450. The cubic root of 42022332 is about 347.6642620067.

Adding to 42022332 its reverse (23322024), we get a palindrome (65344356).

The spelling of 42022332 in words is "forty-two million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 877 1089 1331 1452 1754 2178 2631 2662 3508 3993 4356 5262 5324 7893 7986 9647 10524 11979 15786 15972 19294 23958 28941 31572 38588 47916 57882 86823 106117 115764 173646 212234 318351 347292 424468 636702 955053 1167287 1273404 1910106 2334574 3501861 3820212 4669148 7003722 10505583 14007444 21011166 42022332