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71731413 = 3813292
BaseRepresentation
bin1000100011010…
…00100011010101
311222222100000000
410101220203111
5121330401123
611041241513
71530464325
oct421504325
9158870000
1071731413
1137543966
1220033299
1311b26930
149753285
15646db43
hex44688d5

71731413 has 54 divisors (see below), whose sum is σ = 120001154. Its totient is φ = 42620256.

The previous prime is 71731391. The next prime is 71731417. The reversal of 71731413 is 31413717.

It can be written as a sum of positive squares in 3 ways, for example, as 3470769 + 68260644 = 1863^2 + 8262^2 .

It is not a de Polignac number, because 71731413 - 214 = 71715029 is a prime.

It is a super-2 number, since 2×717314132 = 10290791221953138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71731417) 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 53 ways as a sum of consecutive naturals, for example, 2473483 + ... + 2473511.

Almost surely, 271731413 is an apocalyptic number.

It is an amenable number.

71731413 is a deficient number, since it is larger than the sum of its proper divisors (48269741).

71731413 is an frugal number, since it uses more digits than its factorization.

71731413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 71731413 is about 8469.4399460649. The cubic root of 71731413 is about 415.4988205208.

The spelling of 71731413 in words is "seventy-one million, seven hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 29 39 81 87 117 243 261 351 377 729 783 841 1053 1131 2187 2349 2523 3159 3393 6561 7047 7569 9477 10179 10933 21141 22707 28431 30537 32799 63423 68121 85293 91611 98397 190269 204363 274833 295191 613089 824499 885573 1839267 2473497 2656719 5517801 7970157 23910471 71731413