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42864 = 2431947
BaseRepresentation
bin1010011101110000
32011210120
422131300
52332424
6530240
7235653
oct123560
964716
1042864
112a228
1220980
1316683
141189a
15ca79
hexa770

42864 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 13248.

The previous prime is 42863. The next prime is 42899. The reversal of 42864 is 46824.

42864 = T17 + T18 + ... + T63.

42864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 42 + 211 + 85 + 65 + 44 .

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42863) 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, 889 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

242864 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 42864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

42864 is an abundant number, since it is smaller than the sum of its proper divisors (76176).

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

42864 is a wasteful number, since it uses less digits than its factorization.

42864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42864 is about 207.0362287137. The cubic root of 42864 is about 34.9970065467.

Subtracting from 42864 its product of digits (1536), we obtain a triangular number (41328 = T287).

The spelling of 42864 in words is "forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 376 456 564 752 893 912 1128 1786 2256 2679 3572 5358 7144 10716 14288 21432 42864