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42522354 = 2337236773
BaseRepresentation
bin1010001000110…
…1011011110010
32222000100201000
42202031123302
541341203404
64115222430
71024301610
oct242153362
988010630
1042522354
1122003746
12122a7a16
138a6a974
14590c6b0
153aee339
hex288d6f2

42522354 has 128 divisors (see below), whose sum is σ = 115937280. Its totient is φ = 11290752.

The previous prime is 42522349. The next prime is 42522367. The reversal of 42522354 is 45322524.

It is a happy number.

42522354 is a `hidden beast` number, since 425 + 2 + 235 + 4 = 666.

42522354 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 (27).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 582462 + ... + 582534.

It is an arithmetic number, because the mean of its divisors is an integer number (905760).

Almost surely, 242522354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57968640).

42522354 is an abundant number, since it is smaller than the sum of its proper divisors (73414926).

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

42522354 is a wasteful number, since it uses less digits than its factorization.

42522354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 42522354 is about 6520.9166533548. The cubic root of 42522354 is about 349.0377761152.

Adding to 42522354 its reverse (45322524), we get a palindrome (87844878).

The spelling of 42522354 in words is "forty-two million, five hundred twenty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 67 69 73 126 134 138 146 161 189 201 207 219 322 378 402 414 438 469 483 511 603 621 657 938 966 1022 1206 1242 1314 1407 1449 1533 1541 1679 1809 1971 2814 2898 3066 3082 3358 3618 3942 4221 4347 4599 4623 4891 5037 8442 8694 9198 9246 9782 10074 10787 11753 12663 13797 13869 14673 15111 21574 23506 25326 27594 27738 29346 30222 32361 34237 35259 41607 44019 45333 64722 68474 70518 83214 88038 90666 97083 102711 105777 112493 132057 194166 205422 211554 224986 264114 291249 308133 317331 337479 582498 616266 634662 674958 787451 924399 1012437 1574902 1848798 2024874 2362353 3037311 4724706 6074622 7087059 14174118 21261177 42522354