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42724 = 2211971
BaseRepresentation
bin1010011011100100
32011121101
422123210
52331344
6525444
7235363
oct123344
964541
1042724
112a110
1220884
13165a6
14117da
15c9d4
hexa6e4

42724 has 12 divisors (see below), whose sum is σ = 81648. Its totient is φ = 19400.

The previous prime is 42719. The next prime is 42727.

42724 = T51 + T52 + ... + T72.

42724 is nontrivially palindromic in base 10.

42724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (42727) 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, 442 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

242724 is an apocalyptic number.

42724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42724 is a deficient number, since it is larger than the sum of its proper divisors (38924).

42724 is a wasteful number, since it uses less digits than its factorization.

42724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its digits is 448, while the sum is 19.

The square root of 42724 is about 206.6978471102. The cubic root of 42724 is about 34.9588632340.

The spelling of 42724 in words is "forty-two thousand, seven hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 11 22 44 971 1942 3884 10681 21362 42724