Search a number
-
+
38382696 = 23321148463
BaseRepresentation
bin1001001001101…
…0110001101000
32200020001011100
42102122301220
534311221241
63450401400
7644150622
oct222326150
980201140
1038382696
111a736540
1210a30260
137c4b671
145151c12
1535829b6
hex249ac68

38382696 has 48 divisors (see below), whose sum is σ = 113405760. Its totient is φ = 11630880.

The previous prime is 38382661. The next prime is 38382713. The reversal of 38382696 is 69628383.

38382696 is a `hidden beast` number, since 383 + 8 + 269 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 23440 + ... + 25023.

It is an arithmetic number, because the mean of its divisors is an integer number (2362620).

Almost surely, 238382696 is an apocalyptic number.

38382696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38382696 is an abundant number, since it is smaller than the sum of its proper divisors (75023064).

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

38382696 is a wasteful number, since it uses less digits than its factorization.

38382696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486 (or 48479 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 38382696 is about 6195.3769861083. The cubic root of 38382696 is about 337.3223822608.

The spelling of 38382696 in words is "thirty-eight million, three hundred eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 48463 96926 145389 193852 290778 387704 436167 533093 581556 872334 1066186 1163112 1599279 1744668 2132372 3198558 3489336 4264744 4797837 6397116 9595674 12794232 19191348 38382696