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29485232 = 247416421
BaseRepresentation
bin111000001111…
…0100010110000
32001111000010122
41300132202300
530022011412
62531545412
7505422530
oct160364260
961430118
1029485232
1115709767
129a5b268
1361548aa
143cb74c0
1528c6572
hex1c1e8b0

29485232 has 40 divisors (see below), whose sum is σ = 66891552. Its totient is φ = 12326400.

The previous prime is 29485231. The next prime is 29485237. The reversal of 29485232 is 23258492.

It is a junction number, because it is equal to n+sod(n) for n = 29485192 and 29485201.

It is not an unprimeable number, because it can be changed into a prime (29485231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382 + ... + 7802.

Almost surely, 229485232 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 29485232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445776).

29485232 is an abundant number, since it is smaller than the sum of its proper divisors (37406320).

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

29485232 is a wasteful number, since it uses less digits than its factorization.

29485232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6471 counting only the distinct ones).

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

The square root of 29485232 is about 5430.0305708163. The cubic root of 29485232 is about 308.9357609537.

The spelling of 29485232 in words is "twenty-nine million, four hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 6421 12842 25684 44947 51368 89894 102736 179788 263261 359576 526522 719152 1053044 1842827 2106088 3685654 4212176 7371308 14742616 29485232