[go: up one dir, main page]

Search a number
-
+
38133183 = 3111318821
BaseRepresentation
bin1001000101110…
…1110110111111
32122202100220010
42101131312333
534230230213
63441154303
7642061314
oct221356677
978670803
1038133183
111a586030
121092b993
137b91c1a
1450c8d0b
153533ac3
hex245ddbf

38133183 has 16 divisors (see below), whose sum is σ = 55896192. Its totient is φ = 22932000.

The previous prime is 38133181. The next prime is 38133187.

38133183 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38133183 - 21 = 38133181 is a prime.

It is a super-2 number, since 2×381331832 = 2908279291422978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38133183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88 + ... + 8733.

It is an arithmetic number, because the mean of its divisors is an integer number (3493512).

Almost surely, 238133183 is an apocalyptic number.

38133183 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38133183 is a deficient number, since it is larger than the sum of its proper divisors (17763009).

38133183 is a wasteful number, since it uses less digits than its factorization.

38133183 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966.

The product of its digits is 5184, while the sum is 30.

The square root of 38133183 is about 6175.2071220324. The cubic root of 38133183 is about 336.5898528586.

It can be divided in two parts, 3813 and 3183, that added together give a palindrome (6996).

The spelling of 38133183 in words is "thirty-eight million, one hundred thirty-three thousand, one hundred eighty-three".

Divisors: 1 3 11 33 131 393 1441 4323 8821 26463 97031 291093 1155551 3466653 12711061 38133183