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29024268 = 22372133797
BaseRepresentation
bin110111010111…
…0000000001100
32000121120210220
41232232000030
524412234033
62514031340
7501462600
oct156560014
960546726
1029024268
11154243a9
129878550
136022b30
143bd7500
152834bb3
hex1bae00c

29024268 has 72 divisors (see below), whose sum is σ = 84862512. Its totient is φ = 7652736.

The previous prime is 29024251. The next prime is 29024279. The reversal of 29024268 is 86242092.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5746 + ... + 9542.

It is an arithmetic number, because the mean of its divisors is an integer number (1178646).

Almost surely, 229024268 is an apocalyptic number.

29024268 is a gapful number since it is divisible by the number (28) 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 29024268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42431256).

29024268 is an abundant number, since it is smaller than the sum of its proper divisors (55838244).

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

29024268 is a wasteful number, since it uses less digits than its factorization.

29024268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 29024268 is about 5387.4175631744. The cubic root of 29024268 is about 307.3173586568.

It can be divided in two parts, 29024 and 268, that added together give a palindrome (29292).

The spelling of 29024268 in words is "twenty-nine million, twenty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3797 3822 7594 7644 11391 15188 22782 26579 45564 49361 53158 79737 98722 106316 148083 159474 186053 197444 296166 318948 345527 372106 558159 592332 691054 744212 1036581 1116318 1382108 2073162 2232636 2418689 4146324 4837378 7256067 9674756 14512134 29024268