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29169072 = 243471317
BaseRepresentation
bin110111101000…
…1010110110000
32000212221110000
41233101112300
524431402242
62521110000
7502635012
oct157212660
960787400
1029169072
1115513179
129928300
136073a0a
143c341b2
152862a4c
hex1bd15b0

29169072 has 100 divisors (see below), whose sum is σ = 85882896. Its totient is φ = 9555840.

The previous prime is 29169043. The next prime is 29169073. The reversal of 29169072 is 27096192.

It is a super-2 number, since 2×291690722 = 1701669522682368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (29169073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91858 + ... + 92174.

Almost surely, 229169072 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 29169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42941448).

29169072 is an abundant number, since it is smaller than the sum of its proper divisors (56713824).

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

29169072 is a wasteful number, since it uses less digits than its factorization.

29169072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29169072 is about 5400.8399346768. The cubic root of 29169072 is about 307.8275866432.

The spelling of 29169072 in words is "twenty-nine million, one hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 317 324 426 432 568 634 639 648 852 951 1136 1268 1278 1296 1704 1902 1917 2536 2556 2853 3408 3804 3834 5072 5112 5706 5751 7608 7668 8559 10224 11412 11502 15216 15336 17118 22507 22824 23004 25677 30672 34236 45014 45648 46008 51354 67521 68472 90028 92016 102708 135042 136944 180056 202563 205416 270084 360112 405126 410832 540168 607689 810252 1080336 1215378 1620504 1823067 2430756 3241008 3646134 4861512 7292268 9723024 14584536 29169072