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38000382 = 2372294457
BaseRepresentation
bin1001000011110…
…1011011111110
32122111121201120
42100331123332
534212003012
63434251410
7640666200
oct220753376
978447646
1038000382
111a4a5282
1210886b66
137b46644
145092770
15350958c
hex243d6fe

38000382 has 48 divisors (see below), whose sum is σ = 91478160. Its totient is φ = 10480512.

The previous prime is 38000371. The next prime is 38000383. The reversal of 38000382 is 28300083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38000383) 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, 6298 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (1905795).

Almost surely, 238000382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38000382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45739080).

38000382 is an abundant number, since it is smaller than the sum of its proper divisors (53477778).

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

38000382 is a wasteful number, since it uses less digits than its factorization.

38000382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38000382 is about 6164.4449871825. Note that the first 3 decimals coincide. The cubic root of 38000382 is about 336.1986672328.

The spelling of 38000382 in words is "thirty-eight million, three hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2842 4263 4457 8526 8914 13371 26742 31199 62398 93597 129253 187194 218393 258506 387759 436786 655179 775518 904771 1310358 1809542 2714313 5428626 6333397 12666794 19000191 38000382