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42760836 = 22321187801
BaseRepresentation
bin1010001100011…
…1101010000100
32222110110211200
42203013222010
541421321321
64124302500
71026314106
oct243075204
988413750
1042760836
1122156938
12123a1a30
138b22391
145971576
153b49d26
hex28c7a84

42760836 has 18 divisors (see below), whose sum is σ = 108089982. Its totient is φ = 14253600.

The previous prime is 42760777. The next prime is 42760843. The reversal of 42760836 is 63806724.

42760836 is a `hidden beast` number, since 42 + 7 + 608 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 8468100 = 5856^2 + 2910^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1187801 = 42760836 / (4 + 2 + 7 + 6 + 0 + 8 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 42760836.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 593865 + ... + 593936.

It is an arithmetic number, because the mean of its divisors is an integer number (6004999).

Almost surely, 242760836 is an apocalyptic number.

It is an amenable number.

42760836 is an abundant number, since it is smaller than the sum of its proper divisors (65329146).

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

42760836 is a wasteful number, since it uses less digits than its factorization.

42760836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187811 (or 1187806 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42760836 is about 6539.1770124382. The cubic root of 42760836 is about 349.6890735266.

The spelling of 42760836 in words is "forty-two million, seven hundred sixty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1187801 2375602 3563403 4751204 7126806 10690209 14253612 21380418 42760836