Search a number
-
+
42000648 = 23310117327
BaseRepresentation
bin1010000000111…
…0000100001000
32221000212001120
42200032010020
541223010043
64100115240
71016666604
oct240160410
987025046
1042000648
1121787788
1212095b20
138917371
145814504
153a49983
hex280e108

42000648 has 32 divisors (see below), whose sum is σ = 106047360. Its totient is φ = 13860800.

The previous prime is 42000611. The next prime is 42000649. The reversal of 42000648 is 84600024.

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

It is not an unprimeable number, because it can be changed into a prime (42000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6240 + ... + 11087.

It is an arithmetic number, because the mean of its divisors is an integer number (3313980).

Almost surely, 242000648 is an apocalyptic number.

It is an amenable number.

42000648 is an abundant number, since it is smaller than the sum of its proper divisors (64046712).

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

42000648 is a wasteful number, since it uses less digits than its factorization.

42000648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17437 (or 17433 counting only the distinct ones).

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

The square root of 42000648 is about 6480.7906925004. The cubic root of 42000648 is about 347.6044521503.

The spelling of 42000648 in words is "forty-two million, six hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 17327 34654 51981 69308 103962 138616 207924 415848 1750027 3500054 5250081 7000108 10500162 14000216 21000324 42000648