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42279426 = 23273071093
BaseRepresentation
bin1010000101001…
…0001000000010
32221120000110200
42201102020002
541310420201
64110110030
71022240430
oct241221002
987500420
1042279426
1121958182
12121ab316
1389b4217
145887d50
153aa2386
hex2852202

42279426 has 48 divisors (see below), whose sum is σ = 105129024. Its totient is φ = 12029472.

The previous prime is 42279409. The next prime is 42279439. The reversal of 42279426 is 62497224.

42279426 is a `hidden beast` number, since 4 + 227 + 9 + 426 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38136 + ... + 39228.

It is an arithmetic number, because the mean of its divisors is an integer number (2190188).

Almost surely, 242279426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42279426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52564512).

42279426 is an abundant number, since it is smaller than the sum of its proper divisors (62849598).

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

42279426 is a wasteful number, since it uses less digits than its factorization.

42279426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1412 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42279426 is about 6502.2631444752. The cubic root of 42279426 is about 348.3718280959.

The spelling of 42279426 in words is "forty-two million, two hundred seventy-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1093 1842 2149 2186 2763 3279 4298 5526 6447 6558 7651 9837 12894 15302 19341 19674 22953 38682 45906 68859 137718 335551 671102 1006653 2013306 2348857 3019959 4697714 6039918 7046571 14093142 21139713 42279426