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1742085471 = 3719101139311
BaseRepresentation
bin110011111010110…
…0001110101011111
311111102001010000010
41213311201311133
512031433213341
6444510534303
761112324250
oct14765416537
94442033003
101742085471
118143a8665
12407507393
13219bc3409
1412751cb27
15a2e18716
hex67d61d5f

1742085471 has 64 divisors (see below), whose sum is σ = 2851430400. Its totient is φ = 924048000.

The previous prime is 1742085463. The next prime is 1742085473. The reversal of 1742085471 is 1745802471.

It is not a de Polignac number, because 1742085471 - 23 = 1742085463 is a prime.

It is a super-3 number, since 3×17420854713 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742085473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5601406 + ... + 5601716.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 21742085471 is an apocalyptic number.

1742085471 is a deficient number, since it is larger than the sum of its proper divisors (1109344929).

1742085471 is a wasteful number, since it uses less digits than its factorization.

1742085471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 1742085471 is about 41738.2974137662. The cubic root of 1742085471 is about 1203.2517064068.

The spelling of 1742085471 in words is "one billion, seven hundred forty-two million, eighty-five thousand, four hundred seventy-one".

Divisors: 1 3 7 19 21 57 101 133 139 303 311 399 417 707 933 973 1919 2121 2177 2641 2919 5757 5909 6531 7923 13433 14039 17727 18487 31411 40299 41363 42117 43229 55461 94233 98273 124089 129687 219877 266741 294819 302603 596809 659631 800223 821351 907809 1790427 1867187 2464053 4177663 4366129 5601561 5749457 12532989 13098387 17248371 30562903 82956451 91688709 248869353 580695157 1742085471