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42322626 = 23231731039
BaseRepresentation
bin1010000101110…
…0101011000010
32221122012201200
42201130223002
541313311001
64111042030
71022510403
oct241345302
987565650
1042322626
1121987685
1212210316
1389caa98
1458999aa
153ab0086
hex285cac2

42322626 has 48 divisors (see below), whose sum is σ = 96046080. Its totient is φ = 13452480.

The previous prime is 42322601. The next prime is 42322661. The reversal of 42322626 is 62622324.

42322626 is a `hidden beast` number, since 4 + 2 + 32 + 2 + 626 = 666.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 42322626.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40215 + ... + 41253.

It is an arithmetic number, because the mean of its divisors is an integer number (2000960).

Almost surely, 242322626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48023040).

42322626 is an abundant number, since it is smaller than the sum of its proper divisors (53723454).

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

42322626 is a wasteful number, since it uses less digits than its factorization.

42322626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1148 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 42322626 is about 6505.5842166557. The cubic root of 42322626 is about 348.4904400823.

The spelling of 42322626 in words is "forty-two million, three hundred twenty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 1039 1314 2078 2263 3117 4526 6234 6789 9351 13578 18702 20367 32209 40734 64418 75847 96627 151694 193254 227541 289881 455082 579762 682623 1365246 2351257 4702514 7053771 14107542 21161313 42322626