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29074944 = 29323823
BaseRepresentation
bin110111011101…
…0011000000000
32000201011022210
41232322120000
524420344234
62515102120
7502063413
oct156723000
960634283
1029074944
1115459488
1298a1940
13603cc12
143c0bb7a
152844be9
hex1bba600

29074944 has 80 divisors (see below), whose sum is σ = 80923392. Its totient is φ = 9259008.

The previous prime is 29074939. The next prime is 29074957. The reversal of 29074944 is 44947092.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 34917 + ... + 35739.

Almost surely, 229074944 is an apocalyptic number.

29074944 is a gapful number since it is divisible by the number (24) 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 29074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40461696).

29074944 is an abundant number, since it is smaller than the sum of its proper divisors (51848448).

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

29074944 is an equidigital number, since it uses as much as digits as its factorization.

29074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 29074944 is about 5392.1186930556. The cubic root of 29074944 is about 307.4961120534.

The spelling of 29074944 in words is "twenty-nine million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 823 1104 1472 1536 1646 2208 2469 2944 3292 4416 4938 5888 6584 8832 9876 11776 13168 17664 18929 19752 26336 35328 37858 39504 52672 56787 75716 79008 105344 113574 151432 158016 210688 227148 302864 316032 421376 454296 605728 632064 908592 1211456 1264128 1817184 2422912 3634368 4845824 7268736 9691648 14537472 29074944