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29129088 = 273312447
BaseRepresentation
bin110111100011…
…1100110000000
32000210220121010
41233013212000
524424112323
62520200520
7502410312
oct157074600
960726533
1029129088
111549612a
129909140
13605b761
143c237b2
152855c93
hex1bc7980

29129088 has 64 divisors (see below), whose sum is σ = 79902720. Its totient is φ = 9392640.

The previous prime is 29129083. The next prime is 29129123. The reversal of 29129088 is 88092192.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29129083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10681 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (1248480).

Almost surely, 229129088 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 29129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39951360).

29129088 is an abundant number, since it is smaller than the sum of its proper divisors (50773632).

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

29129088 is a wasteful number, since it uses less digits than its factorization.

29129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 29129088 is about 5397.1370188277. The cubic root of 29129088 is about 307.6868690321.

The spelling of 29129088 in words is "twenty-nine million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2447 2976 3968 4894 5952 7341 9788 11904 14682 19576 29364 39152 58728 75857 78304 117456 151714 156608 227571 234912 303428 313216 455142 469824 606856 910284 939648 1213712 1820568 2427424 3641136 4854848 7282272 9709696 14564544 29129088