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42726690 = 23655861
BaseRepresentation
bin1010001011111…
…1010100100010
32222101202000000
42202333110202
541414223230
64123440430
71026112416
oct242772442
988352000
1042726690
1122133216
1212386116
138b0c986
145962d46
153b3eb60
hex28bf522

42726690 has 56 divisors (see below), whose sum is σ = 115328988. Its totient is φ = 11391840.

The previous prime is 42726667. The next prime is 42726727. The reversal of 42726690 is 9662724.

It is a happy number.

42726690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42341049 + 385641 = 6507^2 + 621^2 .

It is a super-2 number, since 2×427266902 = 3651140076712200, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 4360 + ... + 10220.

Almost surely, 242726690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42726690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57664494).

42726690 is an abundant number, since it is smaller than the sum of its proper divisors (72602298).

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

42726690 is an equidigital number, since it uses as much as digits as its factorization.

42726690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42726690 is about 6536.5656120015. The cubic root of 42726690 is about 349.5959691510.

The spelling of 42726690 in words is "forty-two million, seven hundred twenty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 5861 7290 11722 17583 29305 35166 52749 58610 87915 105498 158247 175830 263745 316494 474741 527490 791235 949482 1424223 1582470 2373705 2848446 4272669 4747410 7121115 8545338 14242230 21363345 42726690