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42666696 = 2333533727
BaseRepresentation
bin1010001011000…
…0101011001000
32222021200201000
42202300223020
541410313241
64122255000
71025442462
oct242605310
988250630
1042666696
11220a2136
1212357460
138abb587
145949132
153b2beb6
hex28b0ac8

42666696 has 64 divisors (see below), whose sum is σ = 120787200. Its totient is φ = 13950144.

The previous prime is 42666677. The next prime is 42666697. The reversal of 42666696 is 69666624.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42666697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9585 + ... + 13311.

It is an arithmetic number, because the mean of its divisors is an integer number (1887300).

Almost surely, 242666696 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 42666696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60393600).

42666696 is an abundant number, since it is smaller than the sum of its proper divisors (78120504).

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

42666696 is a wasteful number, since it uses less digits than its factorization.

42666696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3785 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 42666696 is about 6531.9748927870. The cubic root of 42666696 is about 349.4322659727.

The spelling of 42666696 in words is "forty-two million, six hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3727 3816 5724 7454 11181 11448 14908 22362 29816 33543 44724 67086 89448 100629 134172 197531 201258 268344 395062 402516 592593 790124 805032 1185186 1580248 1777779 2370372 3555558 4740744 5333337 7111116 10666674 14222232 21333348 42666696