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29331264 = 263152767
BaseRepresentation
bin110111111100…
…0111101000000
32001012011221010
41233320331000
530002100024
62524400520
7504211614
oct157707500
961164833
1029331264
1115614016
1299a6140
1360cc7a1
143c77344
152895b29
hex1bf8f40

29331264 has 28 divisors (see below), whose sum is σ = 77606144. Its totient is φ = 9777024.

The previous prime is 29331259. The next prime is 29331271. The reversal of 29331264 is 46213392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76192 + ... + 76575.

It is an arithmetic number, because the mean of its divisors is an integer number (2771648).

Almost surely, 229331264 is an apocalyptic number.

29331264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29331264 is an abundant number, since it is smaller than the sum of its proper divisors (48274880).

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

29331264 is a wasteful number, since it uses less digits than its factorization.

29331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152782 (or 152772 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 29331264 is about 5415.8345617273. The cubic root of 29331264 is about 308.3970816003.

The spelling of 29331264 in words is "twenty-nine million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 152767 305534 458301 611068 916602 1222136 1833204 2444272 3666408 4888544 7332816 9777088 14665632 29331264