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29028312 = 2332537607
BaseRepresentation
bin110111010111…
…0111111011000
32000121210100200
41232232333120
524412401222
62514102200
7501510435
oct156567730
960553320
1029028312
1115427445
12987a960
136024921
143bd8b8c
152835eac
hex1baefd8

29028312 has 48 divisors (see below), whose sum is σ = 80112240. Its totient is φ = 9492288.

The previous prime is 29028301. The next prime is 29028319. The reversal of 29028312 is 21382092.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29028319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (1669005).

Almost surely, 229028312 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 29028312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40056120).

29028312 is an abundant number, since it is smaller than the sum of its proper divisors (51083928).

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

29028312 is a wasteful number, since it uses less digits than its factorization.

29028312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29028312 is about 5387.7928690699. The cubic root of 29028312 is about 307.3316310085.

The spelling of 29028312 in words is "twenty-nine million, twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 7607 15214 22821 30428 45642 60856 68463 91284 136926 182568 273852 403171 547704 806342 1209513 1612684 2419026 3225368 3628539 4838052 7257078 9676104 14514156 29028312