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29140188 = 22371124761
BaseRepresentation
bin110111100101…
…0010011011100
32000211110211020
41233022103130
524424441223
62520324140
7502454550
oct157122334
960743736
1029140188
11154a3500
129913650
13606381c
143c27860
1528591e3
hex1bca4dc

29140188 has 144 divisors (see below), whose sum is σ = 88660992. Its totient is φ = 7286400.

The previous prime is 29140183. The next prime is 29140207. The reversal of 29140188 is 88104192.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29140183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477678 + ... + 477738.

Almost surely, 229140188 is an apocalyptic number.

29140188 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 29140188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330496).

29140188 is an abundant number, since it is smaller than the sum of its proper divisors (59520804).

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

29140188 is a wasteful number, since it uses less digits than its factorization.

29140188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 29140188 is about 5398.1652438583. The cubic root of 29140188 is about 307.7259467004.

The spelling of 29140188 in words is "twenty-nine million, one hundred forty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 61 66 77 84 94 121 122 132 141 154 183 188 231 242 244 282 308 329 363 366 427 462 484 517 564 658 671 726 732 847 854 924 987 1034 1281 1316 1342 1452 1551 1694 1708 1974 2013 2068 2541 2562 2684 2867 3102 3388 3619 3948 4026 4697 5082 5124 5687 5734 6204 7238 7381 8052 8601 9394 10164 10857 11374 11468 14091 14476 14762 17061 17202 18788 20069 21714 22143 22748 28182 29524 31537 34122 34404 39809 40138 43428 44286 51667 56364 60207 63074 68244 79618 80276 88572 94611 103334 119427 120414 126148 155001 159236 189222 206668 220759 238854 240828 310002 346907 378444 441518 477708 620004 662277 693814 883036 1040721 1324554 1387628 2081442 2428349 2649108 4162884 4856698 7285047 9713396 14570094 29140188