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29486912 = 267136183
BaseRepresentation
bin111000001111…
…0111101000000
32001111002102212
41300132331000
530022040122
62532001252
7505430450
oct160367500
961432385
1029486912
111570aa54
129a60228
1361555a0
143cb7d60
1528c6ce2
hex1c1ef40

29486912 has 112 divisors (see below), whose sum is σ = 74078592. Its totient is φ = 11335680.

The previous prime is 29486911. The next prime is 29486923. The reversal of 29486912 is 21968492.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29486912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29486911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355223 + ... + 355305.

It is an arithmetic number, because the mean of its divisors is an integer number (661416).

Almost surely, 229486912 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 29486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37039296).

29486912 is an abundant number, since it is smaller than the sum of its proper divisors (44591680).

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

29486912 is a wasteful number, since it uses less digits than its factorization.

29486912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 29486912 is about 5430.1852638745. The cubic root of 29486912 is about 308.9416283228.

The spelling of 29486912 in words is "twenty-nine million, four hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 83 91 104 112 122 166 182 208 224 244 332 364 416 427 448 488 581 664 728 793 832 854 976 1079 1162 1328 1456 1586 1708 1952 2158 2324 2656 2912 3172 3416 3904 4316 4648 5063 5312 5551 5824 6344 6832 7553 8632 9296 10126 11102 12688 13664 15106 17264 18592 20252 22204 25376 27328 30212 34528 35441 37184 40504 44408 50752 60424 65819 69056 70882 81008 88816 120848 131638 141764 162016 177632 241696 263276 283528 324032 355264 460733 483392 526552 567056 921466 1053104 1134112 1842932 2106208 2268224 3685864 4212416 7371728 14743456 29486912