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517928089 = 7213777153
BaseRepresentation
bin11110110111101…
…111010010011001
31100002120110202211
4132313233102121
52030042144324
6123220555121
715556213300
oct3667572231
91302513684
10517928089
112463a2048
12125552aa1
13833c1433
144cb01437
153070a294
hex1edef499

517928089 has 12 divisors (see below), whose sum is σ = 606893364. Its totient is φ = 440692224.

The previous prime is 517928083. The next prime is 517928107. The reversal of 517928089 is 980829715.

It can be written as a sum of positive squares in 2 ways, for example, as 345662464 + 172265625 = 18592^2 + 13125^2 .

It is not a de Polignac number, because 517928089 - 29 = 517927577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (517928083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31864 + ... + 45289.

It is an arithmetic number, because the mean of its divisors is an integer number (50574447).

Almost surely, 2517928089 is an apocalyptic number.

It is an amenable number.

517928089 is a deficient number, since it is larger than the sum of its proper divisors (88965275).

517928089 is a wasteful number, since it uses less digits than its factorization.

517928089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77304 (or 77297 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The square root of 517928089 is about 22758.0335046770. The cubic root of 517928089 is about 803.0757062389.

The spelling of 517928089 in words is "five hundred seventeen million, nine hundred twenty-eight thousand, eighty-nine".

Divisors: 1 7 49 137 959 6713 77153 540071 3780497 10569961 73989727 517928089