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29201472 = 263443131
BaseRepresentation
bin110111101100…
…1010001000000
32000221120220000
41233121101000
524433421342
62521520000
7503131326
oct157312100
960846800
1029201472
1115535553
129943000
1360856a1
143c41d16
15286c44c
hex1bd9440

29201472 has 140 divisors (see below), whose sum is σ = 89251536. Its totient is φ = 9434880.

The previous prime is 29201449. The next prime is 29201503. The reversal of 29201472 is 27410292.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 19 ways as a sum of consecutive naturals, for example, 222847 + ... + 222977.

Almost surely, 229201472 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 29201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44625768).

29201472 is an abundant number, since it is smaller than the sum of its proper divisors (60050064).

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

29201472 is a wasteful number, since it uses less digits than its factorization.

29201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29201472 is about 5403.8386356367. The cubic root of 29201472 is about 307.9415192279.

The spelling of 29201472 in words is "twenty-nine million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 131 144 162 172 192 216 258 262 288 324 344 387 393 432 516 524 576 648 688 774 786 864 1032 1048 1161 1179 1296 1376 1548 1572 1728 2064 2096 2322 2358 2592 2752 3096 3144 3483 3537 4128 4192 4644 4716 5184 5633 6192 6288 6966 7074 8256 8384 9288 9432 10611 11266 12384 12576 13932 14148 16899 18576 18864 21222 22532 24768 25152 27864 28296 33798 37152 37728 42444 45064 50697 55728 56592 67596 74304 75456 84888 90128 101394 111456 113184 135192 152091 169776 180256 202788 222912 226368 270384 304182 339552 360512 405576 456273 540768 608364 679104 811152 912546 1081536 1216728 1622304 1825092 2433456 3244608 3650184 4866912 7300368 9733824 14600736 29201472