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42774 = 237129
BaseRepresentation
bin1010011100010110
32011200020
422130112
52332044
6530010
7235464
oct123426
964606
1042774
112a156
1220906
1316614
1411834
15ca19
hexa716

42774 has 8 divisors (see below), whose sum is σ = 85560. Its totient is φ = 14256.

The previous prime is 42773. The next prime is 42787. The reversal of 42774 is 47724.

42774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

42774 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3559 + ... + 3570.

It is an arithmetic number, because the mean of its divisors is an integer number (10695).

242774 is an apocalyptic number.

42774 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780).

42774 is a wasteful number, since it uses less digits than its factorization.

42774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134.

The product of its digits is 1568, while the sum is 24.

The square root of 42774 is about 206.8187612379. The cubic root of 42774 is about 34.9724953981.

Subtracting 42774 from its reverse (47724), we obtain a triangular number (4950 = T99).

The spelling of 42774 in words is "forty-two thousand, seven hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7129 14258 21387 42774