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42666736 = 2471722409
BaseRepresentation
bin1010001011000…
…0101011110000
32222021200202111
42202300223300
541410313421
64122255104
71025442550
oct242605360
988250674
1042666736
11220a2172
1212357494
138abb5b8
145949160
153b2bee1
hex28b0af0

42666736 has 40 divisors (see below), whose sum is σ = 100038240. Its totient is φ = 17209344.

The previous prime is 42666733. The next prime is 42666751. The reversal of 42666736 is 63766624.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42666733) 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 7 ways as a sum of consecutive naturals, for example, 9301 + ... + 13108.

It is an arithmetic number, because the mean of its divisors is an integer number (2500956).

Almost surely, 242666736 is an apocalyptic number.

It is an amenable number.

42666736 is an abundant number, since it is smaller than the sum of its proper divisors (57371504).

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

42666736 is a wasteful number, since it uses less digits than its factorization.

42666736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22441 (or 22435 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 42666736 is about 6531.9779546474. The cubic root of 42666736 is about 349.4323751702.

The spelling of 42666736 in words is "forty-two million, six hundred sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 22409 44818 89636 156863 179272 313726 358544 380953 627452 761906 1254904 1523812 2509808 2666671 3047624 5333342 6095248 10666684 21333368 42666736