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29228032 = 210172373
BaseRepresentation
bin110111101111…
…1110000000000
32000222221022201
41233133300000
524440244112
62522242544
7503301631
oct157376000
960887281
1029228032
11155534a9
129956454
1360947c2
143c4b888
152875257
hex1bdfc00

29228032 has 88 divisors (see below), whose sum is σ = 65438496. Its totient is φ = 12976128.

The previous prime is 29228029. The next prime is 29228033. The reversal of 29228032 is 23082292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29228033) 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 7 ways as a sum of consecutive naturals, for example, 400348 + ... + 400420.

Almost surely, 229228032 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 29228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32719248).

29228032 is an abundant number, since it is smaller than the sum of its proper divisors (36210464).

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

29228032 is a wasteful number, since it uses less digits than its factorization.

29228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 29228032 is about 5406.2955894032. The cubic root of 29228032 is about 308.0348529739.

The spelling of 29228032 in words is "twenty-nine million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 73 92 128 136 146 184 256 272 292 368 391 512 544 584 736 782 1024 1088 1168 1241 1472 1564 1679 2176 2336 2482 2944 3128 3358 4352 4672 4964 5888 6256 6716 8704 9344 9928 11776 12512 13432 17408 18688 19856 23552 25024 26864 28543 37376 39712 50048 53728 57086 74752 79424 100096 107456 114172 158848 200192 214912 228344 317696 400384 429824 456688 635392 859648 913376 1270784 1719296 1826752 3653504 7307008 14614016 29228032