Search a number
-
+
42122304 = 2632731337
BaseRepresentation
bin1010000010101…
…1110001000000
32221021000221100
42200223301000
541240403204
64102454400
71021014360
oct240536100
987230840
1042122304
1121860124
1212134400
13895a853
1458469a0
153a70a39
hex282bc40

42122304 has 168 divisors, whose sum is σ = 142857728. Its totient is φ = 11612160.

The previous prime is 42122303. The next prime is 42122309. The reversal of 42122304 is 40322124.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42122303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124824 + ... + 125160.

Almost surely, 242122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71428864).

42122304 is an abundant number, since it is smaller than the sum of its proper divisors (100735424).

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

42122304 is a wasteful number, since it uses less digits than its factorization.

42122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42122304 is about 6490.1697974706. The cubic root of 42122304 is about 347.9397438281.

Adding to 42122304 its reverse (40322124), we get a palindrome (82444428).

The spelling of 42122304 in words is "forty-two million, one hundred twenty-two thousand, three hundred four".