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29208192 = 273135851
BaseRepresentation
bin110111101101…
…0111010000000
32000221221002220
41233122322000
524434130232
62522011040
7503160036
oct157327200
960857086
1029208192
111553a602
129946a80
136088770
143c44556
15286e42c
hex1bdae80

29208192 has 64 divisors (see below), whose sum is σ = 83566560. Its totient is φ = 8985600.

The previous prime is 29208173. The next prime is 29208199. The reversal of 29208192 is 29180292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (29208199) 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 7 ways as a sum of consecutive naturals, for example, 2067 + ... + 7917.

Almost surely, 229208192 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 29208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783280).

29208192 is an abundant number, since it is smaller than the sum of its proper divisors (54358368).

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

29208192 is a wasteful number, since it uses less digits than its factorization.

29208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 29208192 is about 5404.4603800935. The cubic root of 29208192 is about 307.9651391365.

The spelling of 29208192 in words is "twenty-nine million, two hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 5851 11702 17553 23404 35106 46808 70212 76063 93616 140424 152126 187232 228189 280848 304252 374464 456378 561696 608504 748928 912756 1123392 1217008 1825512 2246784 2434016 3651024 4868032 7302048 9736064 14604096 29208192