Search a number
-
+
42880 = 27567
BaseRepresentation
bin1010011110000000
32011211011
422132000
52333010
6530304
7236005
oct123600
964734
1042880
112a242
1220994
1316696
14118ac
15ca8a
hexa780

42880 has 32 divisors (see below), whose sum is σ = 104040. Its totient is φ = 16896.

The previous prime is 42863. The next prime is 42899. The reversal of 42880 is 8824.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 607 + ... + 673.

242880 is an apocalyptic number.

42880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020).

42880 is an abundant number, since it is smaller than the sum of its proper divisors (61160).

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

42880 is an equidigital number, since it uses as much as digits as its factorization.

42880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 42880 is about 207.0748656887. The cubic root of 42880 is about 35.0013604913.

The spelling of 42880 in words is "forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 1072 1340 2144 2680 4288 5360 8576 10720 21440 42880