Search a number
-
+
42548688 = 243271317191
BaseRepresentation
bin1010001001001…
…1110111010000
32222001200211100
42202103313100
541343024223
64115544400
71024441440
oct242236720
988050740
1042548688
1122021506
12122bb100
138a79950
145918120
153b07043
hex2893dd0

42548688 has 240 divisors, whose sum is σ = 155990016. Its totient is φ = 10506240.

The previous prime is 42548687. The next prime is 42548711. The reversal of 42548688 is 88684524.

42548688 is a `hidden beast` number, since 42 + 548 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42548687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222673 + ... + 222863.

Almost surely, 242548688 is an apocalyptic number.

42548688 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 42548688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

42548688 is an abundant number, since it is smaller than the sum of its proper divisors (113441328).

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

42548688 is a wasteful number, since it uses less digits than its factorization.

42548688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 42548688 is about 6522.9355354779. The cubic root of 42548688 is about 349.1098140212.

The spelling of 42548688 in words is "forty-two million, five hundred forty-eight thousand, six hundred eighty-eight".