Search a number
-
+
42322848 = 253440863
BaseRepresentation
bin1010000101110…
…0101110100000
32221122020000220
42201130232200
541313312343
64111043040
71022511141
oct241345640
987566026
1042322848
1121987867
1212210480
1389cac09
145899ac8
153ab0183
hex285cba0

42322848 has 24 divisors (see below), whose sum is σ = 111097728. Its totient is φ = 14107584.

The previous prime is 42322801. The next prime is 42322849. The reversal of 42322848 is 84822324.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×423228482 = 3582446925662208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42322849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220336 + ... + 220527.

It is an arithmetic number, because the mean of its divisors is an integer number (4629072).

Almost surely, 242322848 is an apocalyptic number.

42322848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42322848 is an abundant number, since it is smaller than the sum of its proper divisors (68774880).

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

42322848 is a wasteful number, since it uses less digits than its factorization.

42322848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440876 (or 440868 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42322848 is about 6505.6012788981. The cubic root of 42322848 is about 348.4910494076.

The spelling of 42322848 in words is "forty-two million, three hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 440863 881726 1322589 1763452 2645178 3526904 5290356 7053808 10580712 14107616 21161424 42322848