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517768040 = 23512944201
BaseRepresentation
bin11110110111001…
…000001101101000
31100002021100020002
4132313020031220
52030022034130
6123213322132
715554645546
oct3667101550
91302240202
10517768040
112462a2879
12125496348
138336662a
144ca9cd96
15306c7b45
hex1edc8368

517768040 has 16 divisors (see below), whose sum is σ = 1164978180. Its totient is φ = 207107200.

The previous prime is 517768003. The next prime is 517768079. The reversal of 517768040 is 40867715.

It can be written as a sum of positive squares in 2 ways, for example, as 510488836 + 7279204 = 22594^2 + 2698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 517767985 and 517768003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6472061 + ... + 6472140.

Almost surely, 2517768040 is an apocalyptic number.

It is an amenable number.

517768040 is an abundant number, since it is smaller than the sum of its proper divisors (647210140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

517768040 is a wasteful number, since it uses less digits than its factorization.

517768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944212 (or 12944208 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 517768040 is about 22754.5169142305. The cubic root of 517768040 is about 802.9929761532.

The spelling of 517768040 in words is "five hundred seventeen million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 12944201 25888402 51776804 64721005 103553608 129442010 258884020 517768040