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38384268 = 223131971249
BaseRepresentation
bin1001001001101…
…1001010001100
32200020010022120
42102123022030
534311244033
63450412540
7644155326
oct222331214
980203276
1038384268
111a73773a
1210a31150
137c4c2b0
145152616
1535831b3
hex249b28c

38384268 has 48 divisors (see below), whose sum is σ = 97020000. Its totient is φ = 11741184.

The previous prime is 38384267. The next prime is 38384273. The reversal of 38384268 is 86248383.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38384261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30108 + ... + 31356.

It is an arithmetic number, because the mean of its divisors is an integer number (2021250).

Almost surely, 238384268 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 38384268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48510000).

38384268 is an abundant number, since it is smaller than the sum of its proper divisors (58635732).

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

38384268 is a wasteful number, since it uses less digits than its factorization.

38384268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 38384268 is about 6195.5038536022. The cubic root of 38384268 is about 337.3269873181.

The spelling of 38384268 in words is "thirty-eight million, three hundred eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 1249 2364 2498 2561 3747 4996 5122 7494 7683 10244 14988 15366 16237 30732 32474 48711 64948 97422 194844 246053 492106 738159 984212 1476318 2952636 3198689 6397378 9596067 12794756 19192134 38384268