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29369088 = 28337607
BaseRepresentation
bin111000000001…
…0001100000000
32001021002211000
41300002030000
530004302323
62525252000
7504430110
oct160021400
961232730
1029369088
111563a481
129a04000
136113a78
143c87040
1528a1e43
hex1c02300

29369088 has 144 divisors (see below), whose sum is σ = 99420160. Its totient is φ = 8377344.

The previous prime is 29369071. The next prime is 29369113. The reversal of 29369088 is 88096392.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 48081 + ... + 48687.

Almost surely, 229369088 is an apocalyptic number.

29369088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29369088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49710080).

29369088 is an abundant number, since it is smaller than the sum of its proper divisors (70051072).

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

29369088 is an equidigital number, since it uses as much as digits as its factorization.

29369088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29369088 is about 5419.3254192750. The cubic root of 29369088 is about 308.5295886834.

The spelling of 29369088 in words is "twenty-nine million, three hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 607 672 756 768 864 896 1008 1152 1214 1344 1512 1728 1792 1821 2016 2304 2428 2688 3024 3456 3642 4032 4249 4856 5376 5463 6048 6912 7284 8064 8498 9712 10926 12096 12747 14568 16128 16389 16996 19424 21852 24192 25494 29136 32778 33992 38241 38848 43704 48384 50988 58272 65556 67984 76482 77696 87408 101976 114723 116544 131112 135968 152964 155392 174816 203952 229446 233088 262224 271936 305928 349632 407904 458892 466176 524448 543872 611856 699264 815808 917784 1048896 1087744 1223712 1398528 1631616 1835568 2097792 2447424 3263232 3671136 4195584 4894848 7342272 9789696 14684544 29369088