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545570641 = 71141612833
BaseRepresentation
bin100000100001001…
…011111101010001
31102000120212020001
4200201023331101
52104131230031
6130045250001
716343162650
oct4041137521
91360525201
10545570641
1125aa62330
12132863901
138904c385
1452659197
1532d6a861
hex2084bf51

545570641 has 32 divisors (see below), whose sum is σ = 708454656. Its totient is φ = 407808000.

The previous prime is 545570633. The next prime is 545570659. The reversal of 545570641 is 146075545.

It is a happy number.

It is a 3-Lehmer number, since φ(545570641) divides (545570641-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 545570641 - 23 = 545570633 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a deceptive number, since it divides R545570640.

It is a self number, because there is not a number n which added to its sum of digits gives 545570641.

It is not an unprimeable number, because it can be changed into a prime (545570611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191161 + ... + 193993.

It is an arithmetic number, because the mean of its divisors is an integer number (22139208).

It is a Poulet number, since it divides 2545570640-1.

Almost surely, 2545570641 is an apocalyptic number.

It is an amenable number.

545570641 is a deficient number, since it is larger than the sum of its proper divisors (162884015).

545570641 is a wasteful number, since it uses less digits than its factorization.

545570641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 545570641 is about 23357.4536497453. The cubic root of 545570641 is about 817.1159045677.

The spelling of 545570641 in words is "five hundred forty-five million, five hundred seventy thousand, six hundred forty-one".

Divisors: 1 7 11 41 61 77 287 427 451 671 2501 2833 3157 4697 17507 19831 27511 31163 116153 172813 192577 218141 813071 1209691 1277683 1900943 7085333 8943781 13306601 49597331 77938663 545570641