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29388672 = 273297263
BaseRepresentation
bin111000000011…
…0111110000000
32001022002200100
41300012332000
530010414142
62525522400
7504541155
oct160067600
961262610
1029388672
1115653165
129a13400
13611c961
143c9022c
1528a7b4c
hex1c06f80

29388672 has 96 divisors (see below), whose sum is σ = 85765680. Its totient is φ = 9658368.

The previous prime is 29388647. The next prime is 29388691. The reversal of 29388672 is 27688392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111613 + ... + 111875.

Almost surely, 229388672 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 29388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882840).

29388672 is an abundant number, since it is smaller than the sum of its proper divisors (56377008).

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

29388672 is a wasteful number, since it uses less digits than its factorization.

29388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 29388672 is about 5421.1319851116. The cubic root of 29388672 is about 308.5981517127.

The spelling of 29388672 in words is "twenty-nine million, three hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 263 288 291 384 388 526 576 582 776 789 873 1052 1152 1164 1552 1578 1746 2104 2328 2367 3104 3156 3492 4208 4656 4734 6208 6312 6984 8416 9312 9468 12416 12624 13968 16832 18624 18936 25248 25511 27936 33664 37248 37872 50496 51022 55872 75744 76533 100992 102044 111744 151488 153066 204088 229599 302976 306132 408176 459198 612264 816352 918396 1224528 1632704 1836792 2449056 3265408 3673584 4898112 7347168 9796224 14694336 29388672