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71449290 = 23105112
BaseRepresentation
bin1000100001000…
…11101011001010
311222110000000000
410100203223022
5121242334130
611031223430
71525210653
oct420435312
9158400000
1071449290
1137370a00
121bb17b76
1311a583b3
1496bc52a
156415260
hex4423aca

71449290 has 132 divisors (see below), whose sum is σ = 212043762. Its totient is φ = 17321040.

The previous prime is 71449277. The next prime is 71449297. The reversal of 71449290 is 9294417.

It can be written as a sum of positive squares in only one way, i.e., 64304361 + 7144929 = 8019^2 + 2673^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (71449297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 6495385 + ... + 6495395.

Almost surely, 271449290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71449290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106021881).

71449290 is an abundant number, since it is smaller than the sum of its proper divisors (140594472).

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

71449290 is an equidigital number, since it uses as much as digits as its factorization.

71449290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71449290 is about 8452.7681856301. The cubic root of 71449290 is about 414.9533793857.

The spelling of 71449290 in words is "seventy-one million, four hundred forty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 243 270 297 330 363 405 486 495 594 605 726 729 810 891 990 1089 1210 1215 1458 1485 1782 1815 2178 2187 2430 2673 2970 3267 3630 3645 4374 4455 5346 5445 6534 6561 7290 8019 8910 9801 10890 10935 13122 13365 16038 16335 19602 19683 21870 24057 26730 29403 32670 32805 39366 40095 48114 49005 58806 59049 65610 72171 80190 88209 98010 98415 118098 120285 144342 147015 176418 196830 216513 240570 264627 294030 295245 360855 433026 441045 529254 590490 649539 721710 793881 882090 1082565 1299078 1323135 1587762 2165130 2381643 2646270 3247695 3969405 4763286 6495390 7144929 7938810 11908215 14289858 23816430 35724645 71449290