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506998769 = 1723156591
BaseRepresentation
bin11110001110000…
…010111111110001
31022100000012120012
4132032002333301
52014242430034
6122150424305
715364263344
oct3616027761
91270005505
10506998769
11240207752
12121962095
1381065894
144b49845b
152e79bcce
hex1e382ff1

506998769 has 12 divisors (see below), whose sum is σ = 555959808. Its totient is φ = 461774400.

The previous prime is 506998711. The next prime is 506998771. The reversal of 506998769 is 967899605.

It is not a de Polignac number, because 506998769 - 212 = 506994673 is a prime.

It is a super-2 number, since 2×5069987692 = 514095503535030722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506998369) 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 11 ways as a sum of consecutive naturals, for example, 19337 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (46329984).

Almost surely, 2506998769 is an apocalyptic number.

It is an amenable number.

506998769 is a deficient number, since it is larger than the sum of its proper divisors (48961039).

506998769 is a wasteful number, since it uses less digits than its factorization.

506998769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56656 (or 56639 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 59.

The square root of 506998769 is about 22516.6331630641. The cubic root of 506998769 is about 797.3866645807.

The spelling of 506998769 in words is "five hundred six million, nine hundred ninety-eight thousand, seven hundred sixty-nine".

Divisors: 1 17 31 289 527 8959 56591 962047 1754321 16354799 29823457 506998769