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29078244 = 223313139149
BaseRepresentation
bin110111011101…
…1001011100100
32000201022212000
41232323023210
524421000434
62515125300
7502106136
oct156731344
960638760
1029078244
1115460a08
1298a3830
136041580
143c0d056
152845b99
hex1bbb2e4

29078244 has 96 divisors (see below), whose sum is σ = 82320000. Its totient is φ = 8823168.

The previous prime is 29078243. The next prime is 29078249. The reversal of 29078244 is 44287092.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29078199 and 29078208.

It is not an unprimeable number, because it can be changed into a prime (29078243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195082 + ... + 195230.

It is an arithmetic number, because the mean of its divisors is an integer number (857500).

Almost surely, 229078244 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 29078244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160000).

29078244 is an abundant number, since it is smaller than the sum of its proper divisors (53241756).

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

29078244 is a wasteful number, since it uses less digits than its factorization.

29078244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29078244 is about 5392.4246865394. The cubic root of 29078244 is about 307.5077451946.

The spelling of 29078244 in words is "twenty-nine million, seventy-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 139 149 156 234 278 298 351 417 447 468 556 596 702 834 894 1251 1341 1404 1668 1788 1807 1937 2502 2682 3614 3753 3874 4023 5004 5364 5421 5811 7228 7506 7748 8046 10842 11622 15012 16092 16263 17433 20711 21684 23244 32526 34866 41422 48789 52299 62133 65052 69732 82844 97578 104598 124266 186399 195156 209196 248532 269243 372798 538486 559197 745596 807729 1076972 1118394 1615458 2236788 2423187 3230916 4846374 7269561 9692748 14539122 29078244