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517100493 = 37133751193
BaseRepresentation
bin11110110100100…
…101001111001101
31100001000102112010
4132310211033031
52024334203433
6123151131433
715546165420
oct3664451715
91301012463
10517100493
11245987288
12125213b79
1383191830
144c9679b7
15305e4e63
hex1ed253cd

517100493 has 32 divisors (see below), whose sum is σ = 871526656. Its totient is φ = 265379328.

The previous prime is 517100483. The next prime is 517100497. The reversal of 517100493 is 394001715.

It is not a de Polignac number, because 517100493 - 214 = 517084109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 517100493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517100497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15496 + ... + 35697.

It is an arithmetic number, because the mean of its divisors is an integer number (27235208).

Almost surely, 2517100493 is an apocalyptic number.

It is an amenable number.

517100493 is a deficient number, since it is larger than the sum of its proper divisors (354426163).

517100493 is a wasteful number, since it uses less digits than its factorization.

517100493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51253.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 517100493 is about 22739.8437329723. The cubic root of 517100493 is about 802.6477339841.

The spelling of 517100493 in words is "five hundred seventeen million, one hundred thousand, four hundred ninety-three".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 51193 153579 358351 665509 1075053 1894141 1996527 4658563 5682423 13258987 13975689 24623833 39776961 73871499 172366831 517100493