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38036313 = 32729109191
BaseRepresentation
bin1001000100011…
…0001101011001
32122120110000100
42101012031121
534214130223
63435130013
7641206020
oct221061531
978513010
1038036313
111a51a277
12108a3909
137b59ac3
1450a18b7
153515043
hex2446359

38036313 has 48 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 20684160.

The previous prime is 38036311. The next prime is 38036353. The reversal of 38036313 is 31363083.

It is not a de Polignac number, because 38036313 - 21 = 38036311 is a prime.

It is a super-2 number, since 2×380363132 = 2893522213267938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38036311) 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 47 ways as a sum of consecutive naturals, for example, 199048 + ... + 199238.

It is an arithmetic number, because the mean of its divisors is an integer number (1372800).

Almost surely, 238036313 is an apocalyptic number.

It is an amenable number.

38036313 is a deficient number, since it is larger than the sum of its proper divisors (27858087).

38036313 is a wasteful number, since it uses less digits than its factorization.

38036313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 38036313 is about 6167.3586728842. The cubic root of 38036313 is about 336.3045972990.

Adding to 38036313 its reverse (31363083), we get a palindrome (69399396).

The spelling of 38036313 in words is "thirty-eight million, thirty-six thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 29 63 87 109 191 203 261 327 573 609 763 981 1337 1719 1827 2289 3161 4011 5539 6867 9483 12033 16617 20819 22127 28449 38773 49851 62457 66381 116319 145733 187371 199143 348957 437199 603751 1311597 1811253 4226257 5433759 12678771 38036313