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29136288 = 2532231361
BaseRepresentation
bin110111100100…
…1010110100000
32000211021110210
41233021112200
524424330123
62520254120
7502440306
oct157112640
960737423
1029136288
11154a0585
129911340
136061b0c
143c26276
152857e93
hex1bc95a0

29136288 has 48 divisors (see below), whose sum is σ = 76882176. Its totient is φ = 9661440.

The previous prime is 29136269. The next prime is 29136293. The reversal of 29136288 is 88263192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20728 + ... + 22088.

It is an arithmetic number, because the mean of its divisors is an integer number (1601712).

Almost surely, 229136288 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 29136288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38441088).

29136288 is an abundant number, since it is smaller than the sum of its proper divisors (47745888).

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

29136288 is a wasteful number, since it uses less digits than its factorization.

29136288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1589 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 29136288 is about 5397.8039979236. The cubic root of 29136288 is about 307.7122178398.

The spelling of 29136288 in words is "twenty-nine million, one hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1361 1784 2676 2722 3568 4083 5352 5444 7136 8166 10704 10888 16332 21408 21776 32664 43552 65328 130656 303503 607006 910509 1214012 1821018 2428024 3642036 4856048 7284072 9712096 14568144 29136288