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42770920 = 2351069273
BaseRepresentation
bin1010001100101…
…0000111101000
32222110222200011
42203022013220
541422132140
64124421304
71026355363
oct243120750
988428604
1042770920
1122163475
12123a7834
138b26b4a
1459750da
153b4ccea
hex28ca1e8

42770920 has 16 divisors (see below), whose sum is σ = 96234660. Its totient is φ = 17108352.

The previous prime is 42770909. The next prime is 42770921. The reversal of 42770920 is 2907724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42432196 + 338724 = 6514^2 + 582^2 .

It is not an unprimeable number, because it can be changed into a prime (42770921) 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 3 ways as a sum of consecutive naturals, for example, 534597 + ... + 534676.

Almost surely, 242770920 is an apocalyptic number.

42770920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42770920 is an abundant number, since it is smaller than the sum of its proper divisors (53463740).

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

42770920 is a wasteful number, since it uses less digits than its factorization.

42770920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069284 (or 1069280 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 42770920 is about 6539.9480120258. The cubic root of 42770920 is about 349.7165596392.

The spelling of 42770920 in words is "forty-two million, seven hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1069273 2138546 4277092 5346365 8554184 10692730 21385460 42770920