Search a number
-
+
42114138 = 2311738741
BaseRepresentation
bin1010000010100…
…1110001011010
32221020121201220
42200221301122
541240123023
64102352510
71020651513
oct240516132
987217656
1042114138
1121854a80
121212b736
138956c11
145843a0a
153a6d3e3
hex2829c5a

42114138 has 32 divisors (see below), whose sum is σ = 93154752. Its totient is φ = 12585600.

The previous prime is 42114133. The next prime is 42114161. The reversal of 42114138 is 83141124.

It is not an unprimeable number, because it can be changed into a prime (42114131) 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 15 ways as a sum of consecutive naturals, for example, 448 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (2911086).

Almost surely, 242114138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46577376).

42114138 is an abundant number, since it is smaller than the sum of its proper divisors (51040614).

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

42114138 is a wasteful number, since it uses less digits than its factorization.

42114138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830.

The product of its digits is 768, while the sum is 24.

The square root of 42114138 is about 6489.5406617110. The cubic root of 42114138 is about 347.9172580402.

The spelling of 42114138 in words is "forty-two million, one hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 2409 4818 8741 17482 26223 52446 96151 192302 288453 576906 638093 1276186 1914279 3828558 7019023 14038046 21057069 42114138