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29133036 = 223217181263
BaseRepresentation
bin110111100100…
…0100011101100
32000211010000100
41233020203230
524424224121
62520231100
7502424652
oct157104354
960733010
1029133036
1115499099
12990b490
1360604aa
143c24dd2
152857026
hex1bc88ec

29133036 has 72 divisors (see below), whose sum is σ = 78702624. Its totient is φ = 9054720.

The previous prime is 29133031. The next prime is 29133037. The reversal of 29133036 is 63033192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29133031) 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 23 ways as a sum of consecutive naturals, for example, 110641 + ... + 110903.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 229133036 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 29133036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39351312).

29133036 is an abundant number, since it is smaller than the sum of its proper divisors (49569588).

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

29133036 is a wasteful number, since it uses less digits than its factorization.

29133036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 29133036 is about 5397.5027559048. The cubic root of 29133036 is about 307.7007691455.

The spelling of 29133036 in words is "twenty-nine million, one hundred thirty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 263 306 362 526 543 612 724 789 1052 1086 1578 1629 2172 2367 3077 3156 3258 4471 4734 6154 6516 8942 9231 9468 12308 13413 17884 18462 26826 27693 36924 40239 47603 53652 55386 80478 95206 110772 142809 160956 190412 285618 428427 571236 809251 856854 1618502 1713708 2427753 3237004 4855506 7283259 9711012 14566518 29133036