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517744045 = 57213162557
BaseRepresentation
bin11110110111000…
…010010110101101
31100002020010022101
4132313002112231
52030020302140
6123213015101
715554515600
oct3667022655
91302203271
10517744045
11246286845
12125484491
1383358730
144ca94337
15306c099a
hex1edc25ad

517744045 has 24 divisors (see below), whose sum is σ = 778327704. Its totient is φ = 327712896.

The previous prime is 517744043. The next prime is 517744049. The reversal of 517744045 is 540447715.

It can be written as a sum of positive squares in 4 ways, for example, as 32467204 + 485276841 = 5698^2 + 22029^2 .

It is not a de Polignac number, because 517744045 - 21 = 517744043 is a prime.

It is a super-2 number, since 2×5177440452 = 536117792265924050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 517743995 and 517744013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517744043) 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 23 ways as a sum of consecutive naturals, for example, 78094 + ... + 84463.

It is an arithmetic number, because the mean of its divisors is an integer number (32430321).

Almost surely, 2517744045 is an apocalyptic number.

It is an amenable number.

517744045 is a deficient number, since it is larger than the sum of its proper divisors (260583659).

517744045 is a wasteful number, since it uses less digits than its factorization.

517744045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162589 (or 162582 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The square root of 517744045 is about 22753.9896501690. The cubic root of 517744045 is about 802.9805715546.

The spelling of 517744045 in words is "five hundred seventeen million, seven hundred forty-four thousand, forty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3185 162557 812785 1137899 2113241 5689495 7965293 10566205 14792687 39826465 73963435 103548809 517744045