Search a number
-
+
38235439242 = 2327111397131167
BaseRepresentation
bin100011100111000000…
…101000000010001010
310122200200201120012100
4203213000220002022
51111301233023432
625322022054230
72522336604540
oct434700500212
9118620646170
1038235439242
11152409aa470
1274b0b7a376
1337b4620180
141bca0bbd90
15edbb2e07c
hex8e702808a

38235439242 has 384 divisors, whose sum is σ = 113912967168. Its totient is φ = 8949657600.

The previous prime is 38235439183. The next prime is 38235439259. The reversal of 38235439242 is 24293453283.

38235439242 is a `hidden beast` number, since 3 + 82 + 3 + 543 + 9 + 24 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228954643 + ... + 228954809.

It is an arithmetic number, because the mean of its divisors is an integer number (296648352).

Almost surely, 238235439242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38235439242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56956483584).

38235439242 is an abundant number, since it is smaller than the sum of its proper divisors (75677527926).

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

38235439242 is a wasteful number, since it uses less digits than its factorization.

38235439242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 38235439242 in words is "thirty-eight billion, two hundred thirty-five million, four hundred thirty-nine thousand, two hundred forty-two".