Search a number
-
+
29267392 = 267115939
BaseRepresentation
bin110111110100…
…1010111000000
32001001221022111
41233221113000
524443024032
62523145104
7503524450
oct157512700
961057274
1029267392
1115580030
129975194
1360a96ab
143c5bd60
152881c47
hex1be95c0

29267392 has 56 divisors (see below), whose sum is σ = 72420480. Its totient is φ = 11400960.

The previous prime is 29267369. The next prime is 29267401. The reversal of 29267392 is 29376292.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 1959 + ... + 7897.

Almost surely, 229267392 is an apocalyptic number.

29267392 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 29267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210240).

29267392 is an abundant number, since it is smaller than the sum of its proper divisors (43153088).

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

29267392 is a wasteful number, since it uses less digits than its factorization.

29267392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5959 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 29267392 is about 5409.9345652235. The cubic root of 29267392 is about 308.1730629122.

Subtracting 29267392 from its reverse (29376292), we obtain a square (108900 = 3302).

The spelling of 29267392 in words is "twenty-nine million, two hundred sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 5939 11878 23756 41573 47512 65329 83146 95024 130658 166292 190048 261316 332584 380096 457303 522632 665168 914606 1045264 1330336 1829212 2090528 2660672 3658424 4181056 7316848 14633696 29267392