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506479957 = 16323913001
BaseRepresentation
bin11110001100000…
…100010101010101
31022022000211212221
4132030010111111
52014124324312
6122131342341
715360002644
oct3614042525
91268024787
10506479957
1123a992985
121217519b1
1380c136a9
144b3a135b
152e6e8207
hex1e304555

506479957 has 8 divisors (see below), whose sum is σ = 511758720. Its totient is φ = 501228000.

The previous prime is 506479949. The next prime is 506479973. The reversal of 506479957 is 759974605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506479957 - 23 = 506479949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506479907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32457 + ... + 45457.

It is an arithmetic number, because the mean of its divisors is an integer number (63969840).

Almost surely, 2506479957 is an apocalyptic number.

It is an amenable number.

506479957 is a deficient number, since it is larger than the sum of its proper divisors (5278763).

506479957 is a wasteful number, since it uses less digits than its factorization.

506479957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403.

The product of its (nonzero) digits is 2381400, while the sum is 52.

The square root of 506479957 is about 22505.1095753831. The cubic root of 506479957 is about 797.1145830776.

It can be divided in two parts, 506 and 479957, that multiplied together give a palindrome (242858242).

The spelling of 506479957 in words is "five hundred six million, four hundred seventy-nine thousand, nine hundred fifty-seven".

Divisors: 1 163 239 13001 38957 2119163 3107239 506479957