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42280 = 2357151
BaseRepresentation
bin1010010100101000
32010222221
422110220
52323110
6523424
7234160
oct122450
963887
1042280
1129847
1220574
1316324
14115a0
15c7da
hexa528

42280 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 14400.

The previous prime is 42257. The next prime is 42281. The reversal of 42280 is 8224.

It is not an unprimeable number, because it can be changed into a prime (42281) by changing a digit.

42280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

242280 is an apocalyptic number.

42280 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 42280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

42280 is an abundant number, since it is smaller than the sum of its proper divisors (67160).

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

42280 is a wasteful number, since it uses less digits than its factorization.

42280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42280 is about 205.6210105996. The cubic root of 42280 is about 34.8373404627.

The spelling of 42280 in words is "forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 21140 42280