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38478 = 2311253
BaseRepresentation
bin1001011001001110
31221210010
421121032
52212403
6454050
7220116
oct113116
957703
1038478
1126a00
121a326
131468b
1410046
15b603
hex964e

38478 has 24 divisors (see below), whose sum is σ = 86184. Its totient is φ = 11440.

The previous prime is 38461. The next prime is 38501. The reversal of 38478 is 87483.

38478 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

38478 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

238478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

38478 is an abundant number, since it is smaller than the sum of its proper divisors (47706).

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

38478 is a wasteful number, since it uses less digits than its factorization.

38478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 38478 is about 196.1580995014. The cubic root of 38478 is about 33.7601341309.

The spelling of 38478 in words is "thirty-eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 12826 19239 38478