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29135204 = 2272232281
BaseRepresentation
bin110111100100…
…1000101100100
32000211012222122
41233021011210
524424311304
62520245112
7502434200
oct157110544
960735878
1029135204
111549a78a
129910798
136061487
143c25b00
1528579be
hex1bc9164

29135204 has 54 divisors (see below), whose sum is σ = 62222454. Its totient is φ = 11901120.

The previous prime is 29135191. The next prime is 29135207. The reversal of 29135204 is 40253192.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 2592100 = 5152^2 + 1610^2 .

It is a super-2 number, since 2×291352042 = 1697720224243232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29135207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103544 + ... + 103824.

Almost surely, 229135204 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 29135204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31111227).

29135204 is an abundant number, since it is smaller than the sum of its proper divisors (33087250).

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

29135204 is a wasteful number, since it uses less digits than its factorization.

29135204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 29135204 is about 5397.7035857853. The cubic root of 29135204 is about 307.7084017031.

Adding to 29135204 its reverse (40253192), we get a palindrome (69388396).

The spelling of 29135204 in words is "twenty-nine million, one hundred thirty-five thousand, two hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 281 322 529 562 644 1058 1124 1127 1967 2116 2254 3703 3934 4508 6463 7406 7868 12926 13769 14812 25852 25921 27538 45241 51842 55076 90482 103684 148649 180964 297298 316687 594596 633374 1040543 1266748 2081086 4162172 7283801 14567602 29135204