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505800057 = 3724085717
BaseRepresentation
bin11110001001011…
…110010101111001
31022020202022020110
4132021132111321
52013441100212
6122105014533
715351141510
oct3611362571
91266668213
10505800057
1123a569084
12121484449
1380a36099
144b265677
152e611a3c
hex1e25e579

505800057 has 8 divisors (see below), whose sum is σ = 770742976. Its totient is φ = 289028592.

The previous prime is 505800037. The next prime is 505800077. The reversal of 505800057 is 750008505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505800037) and next prime (505800077).

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

It is not a de Polignac number, because 505800057 - 26 = 505799993 is a prime.

It is a super-2 number, since 2×5058000572 = 511667395322406498, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505799997 and 505800033.

It is not an unprimeable number, because it can be changed into a prime (505800037) 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 7 ways as a sum of consecutive naturals, for example, 12042838 + ... + 12042879.

It is an arithmetic number, because the mean of its divisors is an integer number (96342872).

Almost surely, 2505800057 is an apocalyptic number.

It is an amenable number.

505800057 is a deficient number, since it is larger than the sum of its proper divisors (264942919).

505800057 is a wasteful number, since it uses less digits than its factorization.

505800057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24085727.

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 505800057 is about 22489.9990440195. Note that the first 3 decimals coincide. The cubic root of 505800057 is about 796.7577404640.

The spelling of 505800057 in words is "five hundred five million, eight hundred thousand, fifty-seven".

Divisors: 1 3 7 21 24085717 72257151 168600019 505800057