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29257074 = 232711219101
BaseRepresentation
bin110111110011…
…0110101110010
32001001102011100
41233212311302
524442211244
62523025230
7503452410
oct157466562
961042140
1029257074
1115573300
12996b216
1360a4aa2
143c582b0
15287db69
hex1be6d72

29257074 has 144 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 7128000.

The previous prime is 29257069. The next prime is 29257133. The reversal of 29257074 is 47075292.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289624 + ... + 289724.

It is an arithmetic number, because the mean of its divisors is an integer number (587860).

Almost surely, 229257074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29257074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325920).

29257074 is an abundant number, since it is smaller than the sum of its proper divisors (55394766).

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

29257074 is a wasteful number, since it uses less digits than its factorization.

29257074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 29257074 is about 5408.9808651908. The cubic root of 29257074 is about 308.1368439533.

It can be divided in two parts, 2925 and 7074, that added together give a palindrome (9999).

The spelling of 29257074 in words is "twenty-nine million, two hundred fifty-seven thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 101 114 121 126 133 154 171 198 202 209 231 242 266 303 342 363 399 418 462 606 627 693 707 726 798 847 909 1089 1111 1197 1254 1386 1414 1463 1694 1818 1881 1919 2121 2178 2222 2299 2394 2541 2926 3333 3762 3838 4242 4389 4598 5082 5757 6363 6666 6897 7623 7777 8778 9999 11514 12221 12726 13167 13433 13794 15246 15554 16093 17271 19998 20691 21109 23331 24442 26334 26866 32186 34542 36663 40299 41382 42218 46662 48279 63327 69993 73326 80598 85547 96558 109989 120897 126654 139986 144837 147763 171094 189981 219978 232199 241794 256641 289674 295526 379962 443289 464398 513282 696597 769923 886578 1329867 1393194 1539846 1625393 2089791 2659734 3250786 4179582 4876179 9752358 14628537 29257074