Search a number
-
+
29260352 = 261189467
BaseRepresentation
bin110111110011…
…1101001000000
32001001120122202
41233213221000
524442312402
62523052332
7503465102
oct157475100
961046582
1029260352
1115575810
1299710a8
1360a6424
143c59572
15287eb02
hex1be7a40

29260352 has 56 divisors (see below), whose sum is σ = 64190880. Its totient is φ = 13122560.

The previous prime is 29260313. The next prime is 29260379. The reversal of 29260352 is 25306292.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62423 + ... + 62889.

Almost surely, 229260352 is an apocalyptic number.

29260352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095440).

29260352 is an abundant number, since it is smaller than the sum of its proper divisors (34930528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29260352 is a wasteful number, since it uses less digits than its factorization.

29260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 29260352 is about 5409.2838712717. The cubic root of 29260352 is about 308.1483515390.

The spelling of 29260352 in words is "twenty-nine million, two hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 176 178 352 356 467 704 712 934 979 1424 1868 1958 2848 3736 3916 5137 5696 7472 7832 10274 14944 15664 20548 29888 31328 41096 41563 62656 82192 83126 164384 166252 328768 332504 457193 665008 914386 1330016 1828772 2660032 3657544 7315088 14630176 29260352