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42666666 = 23719127421
BaseRepresentation
bin1010001011000…
…0101010101010
32222021200122220
42202300222222
541410313131
64122254510
71025442420
oct242605252
988250586
1042666666
11220a2109
1212357436
138abb563
145949110
153b2be96
hex28b0aaa

42666666 has 64 divisors (see below), whose sum is σ = 103710720. Its totient is φ = 11430720.

The previous prime is 42666641. The next prime is 42666667. The reversal of 42666666 is 66666624.

42666666 = T223 + T224 + ... + T643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

42666666 is a modest number, since divided by 6666 gives 4266 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42666667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101136 + ... + 101556.

It is an arithmetic number, because the mean of its divisors is an integer number (1620480).

Almost surely, 242666666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51855360).

42666666 is an abundant number, since it is smaller than the sum of its proper divisors (61044054).

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

42666666 is a wasteful number, since it uses less digits than its factorization.

42666666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579.

The product of its digits is 373248, while the sum is 42.

The square root of 42666666 is about 6531.9725963908. The cubic root of 42666666 is about 349.4321840746.

Subtracting from 42666666 its sum of digits (42), we obtain a palindrome (42666624).

It can be divided in two parts, 42 and 666666, that multiplied together give a palindrome (27999972).

The spelling of 42666666 in words is "forty-two million, six hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 127 133 254 266 381 399 421 762 798 842 889 1263 1778 2413 2526 2667 2947 4826 5334 5894 7239 7999 8841 14478 15998 16891 17682 23997 33782 47994 50673 53467 55993 101346 106934 111986 160401 167979 320802 335958 374269 748538 1015873 1122807 2031746 2245614 3047619 6095238 7111111 14222222 21333333 42666666