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29022272 = 261929823
BaseRepresentation
bin110111010110…
…1100001000000
32000121111001222
41232231201000
524412203042
62514014212
7501454016
oct156554100
960544058
1029022272
1115422954
129877368
136021c56
143bd68b6
1528342d2
hex1bad840

29022272 has 56 divisors (see below), whose sum is σ = 62788800. Its totient is φ = 13257216.

The previous prime is 29022271. The next prime is 29022283. The reversal of 29022272 is 27222092.

It is a super-3 number, since 3×290222723 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (29022271) 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, 34853 + ... + 35675.

Almost surely, 229022272 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 29022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394400).

29022272 is an abundant number, since it is smaller than the sum of its proper divisors (33766528).

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

29022272 is a wasteful number, since it uses less digits than its factorization.

29022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 29022272 is about 5387.2323135354. The cubic root of 29022272 is about 307.3103137532.

The spelling of 29022272 in words is "twenty-nine million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 823 928 1102 1216 1646 1856 2204 3292 4408 6584 8816 13168 15637 17632 23867 26336 31274 35264 47734 52672 62548 95468 125096 190936 250192 381872 453473 500384 763744 906946 1000768 1527488 1813892 3627784 7255568 14511136 29022272