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29089144 = 237310601
BaseRepresentation
bin110111011110…
…1110101111000
32000201212210201
41232331311320
524421323034
62515251544
7502153000
oct156756570
960655721
1029089144
1115469117
1298a9bb4
136046516
143c13000
152849014
hex1bbdd78

29089144 has 32 divisors (see below), whose sum is σ = 63612000. Its totient is φ = 12465600.

The previous prime is 29089139. The next prime is 29089163. The reversal of 29089144 is 44198092.

It is a happy number.

It is a super-3 number, since 3×290891443 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 8044.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 229089144 is an apocalyptic number.

It is an amenable number.

29089144 is an abundant number, since it is smaller than the sum of its proper divisors (34522856).

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

29089144 is a wasteful number, since it uses less digits than its factorization.

29089144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 29089144 is about 5393.4352689172. The cubic root of 29089144 is about 307.5461635587.

The spelling of 29089144 in words is "twenty-nine million, eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 10601 21202 42404 74207 84808 148414 296828 519449 593656 1038898 2077796 3636143 4155592 7272286 14544572 29089144