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42744 = 23313137
BaseRepresentation
bin1010011011111000
32011122010
422123320
52331434
6525520
7235422
oct123370
964563
1042744
112a129
12208a0
13165c0
1411812
15c9e9
hexa6f8

42744 has 32 divisors (see below), whose sum is σ = 115920. Its totient is φ = 13056.

The previous prime is 42743. The next prime is 42751. The reversal of 42744 is 44724.

It is a self number, because there is not a number n which added to its sum of digits gives 42744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 380.

242744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

42744 is an abundant number, since it is smaller than the sum of its proper divisors (73176).

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

42744 is a wasteful number, since it uses less digits than its factorization.

42744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 42744 is about 206.7462212472. The cubic root of 42744 is about 34.9643173753.

It can be divided in two parts, 4274 and 4, that added together give a triangular number (4278 = T92).

The spelling of 42744 in words is "forty-two thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 3288 3562 5343 7124 10686 14248 21372 42744