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29210272 = 2572131433
BaseRepresentation
bin110111101101…
…1011010100000
32000222000221221
41233123122200
524434212042
62522024424
7503166100
oct157333240
960860857
1029210272
1115541123
129948114
1360896b0
143c45200
15286ed67
hex1bdb6a0

29210272 has 72 divisors (see below), whose sum is σ = 72092916. Its totient is φ = 11547648.

The previous prime is 29210263. The next prime is 29210281. The reversal of 29210272 is 27201292.

It is an interprime number because it is at equal distance from previous prime (29210263) and next prime (29210281).

It can be written as a sum of positive squares in 2 ways, for example, as 29203216 + 7056 = 5404^2 + 84^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19668 + ... + 21100.

Almost surely, 229210272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046458).

29210272 is an abundant number, since it is smaller than the sum of its proper divisors (42882644).

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

29210272 is a wasteful number, since it uses less digits than its factorization.

29210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 29210272 is about 5404.6528103108. The cubic root of 29210272 is about 307.9724493263.

The spelling of 29210272 in words is "twenty-nine million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1433 1456 1568 2548 2866 2912 5096 5732 10031 10192 11464 18629 20062 20384 22928 37258 40124 45856 70217 74516 80248 130403 140434 149032 160496 260806 280868 298064 320992 521612 561736 596128 912821 1043224 1123472 1825642 2086448 2246944 3651284 4172896 7302568 14605136 29210272