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29253248 = 27449509
BaseRepresentation
bin110111110010…
…1111010000000
32001001012220122
41233211322000
524442100443
62522555412
7503435303
oct157457200
961035818
1029253248
1115570442
129968b68
1360a311b
143c56b3a
15287c968
hex1be5e80

29253248 has 32 divisors (see below), whose sum is σ = 58522500. Its totient is φ = 14565376.

The previous prime is 29253247. The next prime is 29253253. The reversal of 29253248 is 84235292.

It can be written as a sum of positive squares in 2 ways, for example, as 27793984 + 1459264 = 5272^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (34560) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (29253247) 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 3 ways as a sum of consecutive naturals, for example, 57218 + ... + 57726.

Almost surely, 229253248 is an apocalyptic number.

It is an amenable number.

29253248 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

29253248 is an equidigital number, since it uses as much as digits as its factorization.

29253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 29253248 is about 5408.6271825668. The cubic root of 29253248 is about 308.1234114987.

The spelling of 29253248 in words is "twenty-nine million, two hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 449 509 898 1018 1796 2036 3592 4072 7184 8144 14368 16288 28736 32576 57472 65152 228541 457082 914164 1828328 3656656 7313312 14626624 29253248