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29639296 = 271753257
BaseRepresentation
bin111000100010…
…0001010000000
32001202211110201
41301010022000
530041424141
62535134544
7506633641
oct161041200
961684421
1029639296
1115804495
129b14454
1361a9a5b
143d176c8
152907031
hex1c44280

29639296 has 64 divisors (see below), whose sum is σ = 63947880. Its totient is φ = 13631488.

The previous prime is 29639273. The next prime is 29639303. The reversal of 29639296 is 69293692.

It can be written as a sum of positive squares in 4 ways, for example, as 28472896 + 1166400 = 5336^2 + 1080^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115200 + ... + 115456.

Almost surely, 229639296 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 29639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973940).

29639296 is an abundant number, since it is smaller than the sum of its proper divisors (34308584).

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

29639296 is a wasteful number, since it uses less digits than its factorization.

29639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 314928, while the sum is 46.

The square root of 29639296 is about 5444.1983799270. The cubic root of 29639296 is about 309.4729024030.

The spelling of 29639296 in words is "twenty-nine million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 257 272 424 514 544 848 901 1028 1088 1696 1802 2056 2176 3392 3604 4112 4369 6784 7208 8224 8738 13621 14416 16448 17476 27242 28832 32896 34952 54484 57664 69904 108968 115328 139808 217936 231557 279616 435872 463114 559232 871744 926228 1743488 1852456 3704912 7409824 14819648 29639296