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29272672 = 2511136397
BaseRepresentation
bin110111110101…
…0101001100000
32001002012120001
41233222221200
524443211142
62523225344
7503546032
oct157525140
961065501
1029272672
1115583aa0
129978254
1360abc10
143c5dc52
1528835b7
hex1beaa60

29272672 has 48 divisors (see below), whose sum is σ = 67716432. Its totient is φ = 12280320.

The previous prime is 29272669. The next prime is 29272679. The reversal of 29272672 is 27627292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29272679) 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, 1378 + ... + 7774.

It is an arithmetic number, because the mean of its divisors is an integer number (1410759).

Almost surely, 229272672 is an apocalyptic number.

29272672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29272672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858216).

29272672 is an abundant number, since it is smaller than the sum of its proper divisors (38443760).

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

29272672 is a wasteful number, since it uses less digits than its factorization.

29272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6423 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 29272672 is about 5410.4225343313. The cubic root of 29272672 is about 308.1915938417.

The spelling of 29272672 in words is "twenty-nine million, two hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 6397 12794 25588 51176 70367 83161 102352 140734 166322 204704 281468 332644 562936 665288 914771 1125872 1330576 1829542 2251744 2661152 3659084 7318168 14636336 29272672