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42765008 = 24111318691
BaseRepresentation
bin1010001100100…
…0101011010000
32222110200120012
42203020223100
541421440013
64124334052
71026332216
oct243105320
988420505
1042765008
1122159a90
12123a4328
138b24250
145972cb6
153b4b1a8
hex28c8ad0

42765008 has 40 divisors (see below), whose sum is σ = 97347936. Its totient is φ = 17942400.

The previous prime is 42765001. The next prime is 42765017. The reversal of 42765008 is 80056724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7058 + ... + 11633.

Almost surely, 242765008 is an apocalyptic number.

It is an amenable number.

42765008 is an abundant number, since it is smaller than the sum of its proper divisors (54582928).

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

42765008 is a wasteful number, since it uses less digits than its factorization.

42765008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18723 (or 18717 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 42765008 is about 6539.4960050450. The cubic root of 42765008 is about 349.7004457347.

The spelling of 42765008 in words is "forty-two million, seven hundred sixty-five thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 18691 37382 74764 149528 205601 242983 299056 411202 485966 822404 971932 1644808 1943864 2672813 3289616 3887728 5345626 10691252 21382504 42765008