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38141217 = 3217892801
BaseRepresentation
bin1001000101111…
…1110100100001
32122202202220200
42101133310201
534231004332
63441255413
7642123612
oct221376441
978682820
1038141217
111a591074
1210934569
137b9578a
1450cbc09
15353617c
hex245fd21

38141217 has 24 divisors (see below), whose sum is σ = 59010120. Its totient is φ = 23654400.

The previous prime is 38141179. The next prime is 38141249. The reversal of 38141217 is 71214183.

38141217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5239521 + 32901696 = 2289^2 + 5736^2 .

It is not a de Polignac number, because 38141217 - 214 = 38124833 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38141617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12217 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (2458755).

Almost surely, 238141217 is an apocalyptic number.

It is an amenable number.

38141217 is a deficient number, since it is larger than the sum of its proper divisors (20868903).

38141217 is a wasteful number, since it uses less digits than its factorization.

38141217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 38141217 is about 6175.8575922701. The cubic root of 38141217 is about 336.6134890793.

The spelling of 38141217 in words is "thirty-eight million, one hundred forty-one thousand, two hundred seventeen".

Divisors: 1 3 9 17 51 89 153 267 801 1513 2801 4539 8403 13617 25209 47617 142851 249289 428553 747867 2243601 4237913 12713739 38141217