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29441412 = 2232711131943
BaseRepresentation
bin111000001001…
…1110110000100
32001101210000200
41300103312010
530014111122
62531010500
7505151010
oct160236604
961353020
1029441412
1115689850
129a39a30
13613a970
143ca5540
1528b85ac
hex1c13d84

29441412 has 288 divisors, whose sum is σ = 107627520. Its totient is φ = 6531840.

The previous prime is 29441407. The next prime is 29441441. The reversal of 29441412 is 21414492.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 684663 + ... + 684705.

Almost surely, 229441412 is an apocalyptic number.

29441412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

29441412 is the 3432-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29441412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

29441412 is an abundant number, since it is smaller than the sum of its proper divisors (78186108).

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

29441412 is a wasteful number, since it uses less digits than its factorization.

29441412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 98 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 29441412 is about 5425.9941024664. The cubic root of 29441412 is about 308.7826416232.

It can be divided in two parts, 2944 and 1412, that added together give a square (4356 = 662).

The spelling of 29441412 in words is "twenty-nine million, four hundred forty-one thousand, four hundred twelve".