Search a number
-
+
42378192 = 2432294293
BaseRepresentation
bin1010000110101…
…0001111010000
32221202000221200
42201222033100
541322100232
64112151200
71023131403
oct241521720
987660850
1042378192
1121a153aa
1212238500
138a1a16c
1458b1d3a
153ac177c
hex286a3d0

42378192 has 30 divisors (see below), whose sum is σ = 118600482. Its totient is φ = 14126016.

The previous prime is 42378191. The next prime is 42378211. The reversal of 42378192 is 29187324.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 76176 = 6504^2 + 276^2 .

It is a super-2 number, since 2×423781922 = 3591822314377728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42378191) 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 5 ways as a sum of consecutive naturals, for example, 147003 + ... + 147290.

Almost surely, 242378192 is an apocalyptic number.

It is an amenable number.

42378192 is an abundant number, since it is smaller than the sum of its proper divisors (76222290).

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

42378192 is a wasteful number, since it uses less digits than its factorization.

42378192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294307 (or 294298 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42378192 is about 6509.8534545718. The cubic root of 42378192 is about 348.6428861320.

The spelling of 42378192 in words is "forty-two million, three hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 294293 588586 882879 1177172 1765758 2354344 2648637 3531516 4708688 5297274 7063032 10594548 14126064 21189096 42378192