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42281352 = 233471919
BaseRepresentation
bin1010000101001…
…0100110001000
32221120010010000
42201102212020
541311000402
64110123000
71022246151
oct241224610
987503100
1042281352
1121959673
12121b0460
1389b5069
145888928
153aa2c1c
hex2852988

42281352 has 80 divisors (see below), whose sum is σ = 120225600. Its totient is φ = 13880160.

The previous prime is 42281339. The next prime is 42281387. The reversal of 42281352 is 25318224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45549 + ... + 46467.

It is an arithmetic number, because the mean of its divisors is an integer number (1502820).

Almost surely, 242281352 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 42281352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112800).

42281352 is an abundant number, since it is smaller than the sum of its proper divisors (77944248).

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

42281352 is a wasteful number, since it uses less digits than its factorization.

42281352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42281352 is about 6502.4112450690. The cubic root of 42281352 is about 348.3771179340.

Adding to 42281352 its reverse (25318224), we get a palindrome (67599576).

The spelling of 42281352 in words is "forty-two million, two hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 919 1278 1704 1838 1917 2556 2757 3676 3834 5112 5514 5751 7352 7668 8271 11028 11502 15336 16542 22056 23004 24813 33084 46008 49626 65249 66168 74439 99252 130498 148878 195747 198504 260996 297756 391494 521992 587241 595512 782988 1174482 1565976 1761723 2348964 3523446 4697928 5285169 7046892 10570338 14093784 21140676 42281352