| Base | Representation |
|---|---|
| bin | 1001001101101… |
| … | …0001011100000 |
| 3 | 2200201020102000 |
| 4 | 2103122023200 |
| 5 | 34343024100 |
| 6 | 3500124000 |
| 7 | 646312026 |
| oct | 223321340 |
| 9 | 80636360 |
| 10 | 38642400 |
| 11 | 1a8a3675 |
| 12 | 10b36600 |
| 13 | 800c934 |
| 14 | 51bc716 |
| 15 | 35d4900 |
| hex | 24da2e0 |
38642400 has 144 divisors (see below), whose sum is σ = 139834800. Its totient is φ = 10298880.
The previous prime is 38642381. The next prime is 38642419. The reversal of 38642400 is 424683.
It is an interprime number because it is at equal distance from previous prime (38642381) and next prime (38642419).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 20706 + ... + 22494.
It is an arithmetic number, because the mean of its divisors is an integer number (971075).
Almost surely, 238642400 is an apocalyptic number.
38642400 is a gapful number since it is divisible by the number (30) 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 38642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69917400).
38642400 is an abundant number, since it is smaller than the sum of its proper divisors (101192400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38642400 is a wasteful number, since it uses less digits than its factorization.
38642400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 38642400 is about 6216.3011510061. The cubic root of 38642400 is about 338.0814667720.
It can be divided in two parts, 3 and 8642400, that added together give a triangular number (8642403 = T4157).
The spelling of 38642400 in words is "thirty-eight million, six hundred forty-two thousand, four hundred".
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