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42827456 = 26795597
BaseRepresentation
bin1010001101011…
…1111011000000
32222120212020002
42203113323000
541430434311
64125535132
71030012250
oct243277300
988525202
1042827456
11221a19a1
12124144a8
138b467b9
14598b960
153b5e93b
hex28d7ec0

42827456 has 28 divisors (see below), whose sum is σ = 97127568. Its totient is φ = 18354432.

The previous prime is 42827431. The next prime is 42827479. The reversal of 42827456 is 65472824.

42827456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47351 + ... + 48246.

Almost surely, 242827456 is an apocalyptic number.

It is an amenable number.

42827456 is an abundant number, since it is smaller than the sum of its proper divisors (54300112).

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

42827456 is an equidigital number, since it uses as much as digits as its factorization.

42827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95616 (or 95606 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 42827456 is about 6544.2689431288. The cubic root of 42827456 is about 349.8705807220.

The spelling of 42827456 in words is "forty-two million, eight hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 95597 191194 382388 669179 764776 1338358 1529552 2676716 3059104 5353432 6118208 10706864 21413728 42827456