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29743038 = 2341329487
BaseRepresentation
bin111000101110…
…1011110111110
32001222002210000
41301131132332
530103234123
62541255130
7510545253
oct161353676
961862700
1029743038
1115875426
129b644a6
136215040
143d4342a
152927b43
hex1c5d7be

29743038 has 80 divisors (see below), whose sum is σ = 74400480. Its totient is φ = 8817984.

The previous prime is 29743031. The next prime is 29743039. The reversal of 29743038 is 83034792.

It is a junction number, because it is equal to n+sod(n) for n = 29742993 and 29743011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29743031) 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 39 ways as a sum of consecutive naturals, for example, 60831 + ... + 61317.

It is an arithmetic number, because the mean of its divisors is an integer number (930006).

Almost surely, 229743038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29743038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200240).

29743038 is an abundant number, since it is smaller than the sum of its proper divisors (44657442).

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

29743038 is a wasteful number, since it uses less digits than its factorization.

29743038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 29743038 is about 5453.7178144822. The cubic root of 29743038 is about 309.8335492132.

The spelling of 29743038 in words is "twenty-nine million, seven hundred forty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 487 522 702 754 783 974 1053 1131 1461 1566 2106 2262 2349 2922 3393 4383 4698 6331 6786 8766 10179 12662 13149 14123 18993 20358 26298 28246 30537 37986 39447 42369 56979 61074 78894 84738 113958 127107 170937 183599 254214 341874 367198 381321 512811 550797 762642 1025622 1101594 1143963 1652391 2287926 3304782 4957173 9914346 14871519 29743038