| Base | Representation |
|---|---|
| bin | 1001000110000… |
| … | …1011000100000 |
| 3 | 2122210002200200 |
| 4 | 2101201120200 |
| 5 | 34231210431 |
| 6 | 3441345200 |
| 7 | 642151353 |
| oct | 221413040 |
| 9 | 78702620 |
| 10 | 38147616 |
| 11 | 1a595961 |
| 12 | 10938200 |
| 13 | 7b98670 |
| 14 | 50d029a |
| 15 | 3537ee6 |
| hex | 2461620 |
38147616 has 144 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 11202048.
The previous prime is 38147581. The next prime is 38147617. The reversal of 38147616 is 61674183.
38147616 is a `hidden beast` number, since 38 + 1 + 4 + 7 + 616 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38147617) 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, 85891 + ... + 86333.
It is an arithmetic number, because the mean of its divisors is an integer number (848484).
Almost surely, 238147616 is an apocalyptic number.
38147616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38147616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).
38147616 is an abundant number, since it is smaller than the sum of its proper divisors (84034080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38147616 is a wasteful number, since it uses less digits than its factorization.
38147616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 495 (or 484 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 38147616 is about 6176.3756362449. The cubic root of 38147616 is about 336.6323127163.
The spelling of 38147616 in words is "thirty-eight million, one hundred forty-seven thousand, six hundred sixteen".
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