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29135808 = 2633131297
BaseRepresentation
bin110111100100…
…1001111000000
32000211020211000
41233021033000
524424321213
62520252000
7502436022
oct157111700
960736730
1029135808
11154a0189
129911000
136061830
143c26012
152857c73
hex1bc93c0

29135808 has 112 divisors (see below), whose sum is σ = 92313760. Its totient is φ = 8957952.

The previous prime is 29135791. The next prime is 29135831. The reversal of 29135808 is 80853192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21816 + ... + 23112.

It is an arithmetic number, because the mean of its divisors is an integer number (824230).

Almost surely, 229135808 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 29135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46156880).

29135808 is an abundant number, since it is smaller than the sum of its proper divisors (63177952).

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

29135808 is a wasteful number, since it uses less digits than its factorization.

29135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 29135808 is about 5397.7595352146. The cubic root of 29135808 is about 307.7105280492.

The spelling of 29135808 in words is "twenty-nine million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1297 1404 1728 1872 2496 2594 2808 3744 3891 5188 5616 7488 7782 10376 11232 11673 15564 16861 20752 22464 23346 31128 33722 35019 41504 46692 50583 62256 67444 70038 83008 93384 101166 124512 134888 140076 151749 186768 202332 249024 269776 280152 303498 373536 404664 455247 539552 560304 606996 747072 809328 910494 1079104 1120608 1213992 1618656 1820988 2241216 2427984 3237312 3641976 4855968 7283952 9711936 14567904 29135808