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29288196 = 22337192039
BaseRepresentation
bin110111110111…
…0011100000100
32001002222212000
41233232130010
524444210241
62523425300
7503642220
oct157563404
961088760
1029288196
1115594723
129985230
1360b5cc2
143c65780
152887eb6
hex1bee704

29288196 has 96 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 7923744.

The previous prime is 29288183. The next prime is 29288219. The reversal of 29288196 is 69188292.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13345 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (952000).

Almost surely, 229288196 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 29288196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

29288196 is an abundant number, since it is smaller than the sum of its proper divisors (62103804).

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

29288196 is a wasteful number, since it uses less digits than its factorization.

29288196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 29288196 is about 5411.8569825892. The cubic root of 29288196 is about 308.2460646782.

It can be divided in two parts, 292 and 88196, that added together give a palindrome (88488).

The spelling of 29288196 in words is "twenty-nine million, two hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2039 2052 2394 3591 4078 4788 6117 7182 8156 12234 14273 14364 18351 24468 28546 36702 38741 42819 55053 57092 73404 77482 85638 110106 116223 128457 154964 171276 220212 232446 256914 271187 348669 385371 464892 513828 542374 697338 770742 813561 1046007 1084748 1394676 1541484 1627122 2092014 2440683 3254244 4184028 4881366 7322049 9762732 14644098 29288196