Search a number
-
+
42882048 = 210341147
BaseRepresentation
bin1010001110010…
…1010000000000
32222200122010000
42203211100000
541434211143
64131040000
71030330356
oct243452000
988618100
1042882048
1122229a10
1212440000
138b655c1
1459a37d6
153b70bd3
hex28e5400

42882048 has 220 divisors, whose sum is σ = 142667712. Its totient is φ = 12718080.

The previous prime is 42882013. The next prime is 42882061. The reversal of 42882048 is 84028824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912361 + ... + 912407.

Almost surely, 242882048 is an apocalyptic number.

42882048 is a gapful number since it is divisible by the number (48) 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 42882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71333856).

42882048 is an abundant number, since it is smaller than the sum of its proper divisors (99785664).

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

42882048 is a wasteful number, since it uses less digits than its factorization.

42882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42882048 is about 6548.4385925196. The cubic root of 42882048 is about 350.0191771805.

It can be divided in two parts, 4288 and 2048, that added together give a palindrome (6336).

The spelling of 42882048 in words is "forty-two million, eight hundred eighty-two thousand, forty-eight".