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29168272 = 247312271
BaseRepresentation
bin110111101000…
…1001010010000
32000212220100101
41233101022100
524431341042
62521102144
7502632460
oct157211220
960786311
1029168272
1115512611
129927954
136073543
143c33ba0
1528626b7
hex1bd1290

29168272 has 60 divisors (see below), whose sum is σ = 66983808. Its totient is φ = 12052800.

The previous prime is 29168267. The next prime is 29168273. The reversal of 29168272 is 27286192.

It is not an unprimeable number, because it can be changed into a prime (29168273) 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 11 ways as a sum of consecutive naturals, for example, 107497 + ... + 107767.

Almost surely, 229168272 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 29168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33491904).

29168272 is an abundant number, since it is smaller than the sum of its proper divisors (37815536).

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

29168272 is a wasteful number, since it uses less digits than its factorization.

29168272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 311 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 29168272 is about 5400.7658716149. The cubic root of 29168272 is about 307.8247724259.

The spelling of 29168272 in words is "twenty-nine million, one hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 271 434 496 542 868 961 1084 1736 1897 1922 2168 3472 3794 3844 4336 6727 7588 7688 8401 13454 15176 15376 16802 26908 30352 33604 53816 58807 67208 107632 117614 134416 235228 260431 470456 520862 940912 1041724 1823017 2083448 3646034 4166896 7292068 14584136 29168272