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29033900 = 22527193759
BaseRepresentation
bin110111011000…
…0010110101100
32000122002000122
41232300112230
524413041100
62514144112
7501532640
oct156602654
960562018
1029033900
1115430665
129882038
13602732c
143bdac20
152837985
hex1bb05ac

29033900 has 144 divisors (see below), whose sum is σ = 79161600. Its totient is φ = 9020160.

The previous prime is 29033899. The next prime is 29033929. The reversal of 29033900 is 933092.

It is a self number, because there is not a number n which added to its sum of digits gives 29033900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492071 + ... + 492129.

Almost surely, 229033900 is an apocalyptic number.

29033900 is a gapful number since it is divisible by the number (20) 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 29033900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

29033900 is an abundant number, since it is smaller than the sum of its proper divisors (50127700).

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

29033900 is a wasteful number, since it uses less digits than its factorization.

29033900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 29033900 is about 5388.3114238136. The cubic root of 29033900 is about 307.3513503658.

Adding to 29033900 its reverse (933092), we get a palindrome (29966992).

The spelling of 29033900 in words is "twenty-nine million, thirty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 37 38 50 59 70 74 76 95 100 118 133 140 148 175 185 190 236 259 266 295 350 370 380 413 475 518 532 590 665 700 703 740 826 925 950 1036 1121 1180 1295 1330 1406 1475 1652 1850 1900 2065 2183 2242 2590 2660 2812 2950 3325 3515 3700 4130 4366 4484 4921 5180 5605 5900 6475 6650 7030 7847 8260 8732 9842 10325 10915 11210 12950 13300 14060 15281 15694 17575 19684 20650 21830 22420 24605 25900 28025 30562 31388 35150 39235 41300 41477 43660 49210 54575 56050 61124 70300 76405 78470 82954 98420 109150 112100 123025 152810 156940 165908 196175 207385 218300 246050 290339 305620 382025 392350 414770 492100 580678 764050 784700 829540 1036925 1161356 1451695 1528100 2073850 2903390 4147700 5806780 7258475 14516950 29033900