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42726618 = 23211316961
BaseRepresentation
bin1010001011111…
…1010011011010
32222101201220100
42202333103122
541414222433
64123440230
71026112254
oct242772332
988351810
1042726618
1122133160
1212386076
138b0c92c
145962cd4
153b3eb13
hex28bf4da

42726618 has 48 divisors (see below), whose sum is σ = 104262912. Its totient is φ = 12528000.

The previous prime is 42726613. The next prime is 42726623. The reversal of 42726618 is 81662724.

It is an interprime number because it is at equal distance from previous prime (42726613) and next prime (42726623).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42726613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658 + ... + 9618.

It is an arithmetic number, because the mean of its divisors is an integer number (2172144).

Almost surely, 242726618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42726618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52131456).

42726618 is an abundant number, since it is smaller than the sum of its proper divisors (61536294).

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

42726618 is a wasteful number, since it uses less digits than its factorization.

42726618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7008 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42726618 is about 6536.5601045198. The cubic root of 42726618 is about 349.5957727794.

The spelling of 42726618 in words is "forty-two million, seven hundred twenty-six thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 6961 13922 20883 41766 62649 76571 125298 153142 215791 229713 431582 459426 647373 689139 1294746 1378278 1942119 2373701 3884238 4747402 7121103 14242206 21363309 42726618