Search a number
-
+
42138888 = 23311159617
BaseRepresentation
bin1010000010111…
…1110100001000
32221021212200120
42200233310020
541241421023
64103103240
71021113621
oct240576410
987255616
1042138888
1121871630
1212141b20
13896526c
14584ca48
153a758e3
hex282fd08

42138888 has 32 divisors (see below), whose sum is σ = 114924960. Its totient is φ = 12769280.

The previous prime is 42138883. The next prime is 42138947. The reversal of 42138888 is 88883124.

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 (42138881) 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 7 ways as a sum of consecutive naturals, for example, 79545 + ... + 80072.

It is an arithmetic number, because the mean of its divisors is an integer number (3591405).

Almost surely, 242138888 is an apocalyptic number.

It is an amenable number.

42138888 is an abundant number, since it is smaller than the sum of its proper divisors (72786072).

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

42138888 is a wasteful number, since it uses less digits than its factorization.

42138888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159637 (or 159633 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 42138888 is about 6491.4472962507. The cubic root of 42138888 is about 347.9854003652.

The spelling of 42138888 in words is "forty-two million, one hundred thirty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 159617 319234 478851 638468 957702 1276936 1755787 1915404 3511574 3830808 5267361 7023148 10534722 14046296 21069444 42138888