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29936088 = 23337131523
BaseRepresentation
bin111001000110…
…0100111011000
32002022220121000
41302030213120
530130423323
62545345000
7512311140
oct162144730
962286530
1029936088
1115997476
12a038160
136281b80
143d93920
152964e43
hex1c8c9d8

29936088 has 128 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 7890048.

The previous prime is 29936083. The next prime is 29936089. The reversal of 29936088 is 88063992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29936083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18895 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 229936088 is an apocalyptic number.

29936088 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 29936088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

29936088 is an abundant number, since it is smaller than the sum of its proper divisors (72476712).

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

29936088 is a wasteful number, since it uses less digits than its factorization.

29936088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1548 counting only the distinct ones).

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

The square root of 29936088 is about 5471.3881236849. The cubic root of 29936088 is about 310.5024387775.

The spelling of 29936088 in words is "twenty-nine million, nine hundred thirty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1523 1638 2184 2457 2808 3046 3276 4569 4914 6092 6552 9138 9828 10661 12184 13707 18276 19656 19799 21322 27414 31983 36552 39598 41121 42644 54828 59397 63966 79196 82242 85288 95949 109656 118794 127932 138593 158392 164484 178191 191898 237588 255864 277186 287847 328968 356382 383796 415779 475176 534573 554372 575694 712764 767592 831558 1069146 1108744 1151388 1247337 1425528 1663116 2138292 2302776 2494674 3326232 3742011 4276584 4989348 7484022 9978696 14968044 29936088