Search a number
-
+
38949546328 = 23711172327989
BaseRepresentation
bin100100010001100100…
…101110100101011000
310201112110102221221221
4210101210232211120
51114232040440303
625520531541424
72546130452440
oct442144564530
9121473387857
1038949546328
1115578004710
12767015a874
13389955b644
141c56c89120
15102e68b4bd
hex91192e958

38949546328 has 384 divisors, whose sum is σ = 103203072000. Its totient is φ = 13337026560.

The previous prime is 38949546323. The next prime is 38949546341. The reversal of 38949546328 is 82364594983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38949546323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437635308 + ... + 437635396.

It is an arithmetic number, because the mean of its divisors is an integer number (268758000).

Almost surely, 238949546328 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 38949546328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51601536000).

38949546328 is an abundant number, since it is smaller than the sum of its proper divisors (64253525672).

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

38949546328 is a wasteful number, since it uses less digits than its factorization.

38949546328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 38949546328 in words is "thirty-eight billion, nine hundred forty-nine million, five hundred forty-six thousand, three hundred twenty-eight".