Search a number
-
+
29281257 = 35412939
BaseRepresentation
bin110111110110…
…0101111101001
32001002122100000
41233230233221
524444000012
62523333213
7503613045
oct157545751
961078300
1029281257
111558a495
129981209
1360b2ab5
143c63025
152885ddc
hex1becbe9

29281257 has 24 divisors (see below), whose sum is σ = 44946720. Its totient is φ = 19038240.

The previous prime is 29281229. The next prime is 29281289. The reversal of 29281257 is 75218292.

29281257 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 29281257 - 26 = 29281193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29281207) 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 23 ways as a sum of consecutive naturals, for example, 8494 + ... + 11432.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 229281257 is an apocalyptic number.

29281257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29281257 is a deficient number, since it is larger than the sum of its proper divisors (15665463).

29281257 is an equidigital number, since it uses as much as digits as its factorization.

29281257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2983 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 29281257 is about 5411.2158522831. The cubic root of 29281257 is about 308.2217193938.

The spelling of 29281257 in words is "twenty-nine million, two hundred eighty-one thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 41 81 123 243 369 1107 2939 3321 8817 9963 26451 79353 120499 238059 361497 714177 1084491 3253473 9760419 29281257