Search a number
-
+
29149237 = 1317413217
BaseRepresentation
bin110111100110…
…0100000110101
32000211221020101
41233030200311
524430233422
62520434101
7502523125
oct157144065
960757211
1029149237
11154aa287
129918931
136067990
143c2ac85
15285bc27
hex1bcc835

29149237 has 16 divisors (see below), whose sum is σ = 34059312. Its totient is φ = 24698880.

The previous prime is 29149231. The next prime is 29149243. The reversal of 29149237 is 73294192.

It is an interprime number because it is at equal distance from previous prime (29149231) and next prime (29149243).

It can be written as a sum of positive squares in 8 ways, for example, as 269361 + 28879876 = 519^2 + 5374^2 .

It is a cyclic number.

It is not a de Polignac number, because 29149237 - 211 = 29147189 is a prime.

It is a super-3 number, since 3×291492373 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29149196 and 29149205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29149231) 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 15 ways as a sum of consecutive naturals, for example, 7453 + ... + 10669.

It is an arithmetic number, because the mean of its divisors is an integer number (2128707).

Almost surely, 229149237 is an apocalyptic number.

It is an amenable number.

29149237 is a deficient number, since it is larger than the sum of its proper divisors (4910075).

29149237 is a wasteful number, since it uses less digits than its factorization.

29149237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its digits is 27216, while the sum is 37.

The square root of 29149237 is about 5399.0033339497. The cubic root of 29149237 is about 307.7577964595.

The spelling of 29149237 in words is "twenty-nine million, one hundred forty-nine thousand, two hundred thirty-seven".

Divisors: 1 13 17 41 221 533 697 3217 9061 41821 54689 131897 710957 1714661 2242249 29149237