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506746416 = 243111950513
BaseRepresentation
bin11110001101000…
…101011000110000
31022022112101101210
4132031011120300
52014211341131
6122141200120
715362162541
oct3615053060
91268471353
10506746416
112400550a0
12121860040
1380ca7a67
144b4304c8
152e74c146
hex1e345630

506746416 has 80 divisors (see below), whose sum is σ = 1503296640. Its totient is φ = 145474560.

The previous prime is 506746403. The next prime is 506746417. The reversal of 506746416 is 614647605.

It is not an unprimeable number, because it can be changed into a prime (506746417) 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 15 ways as a sum of consecutive naturals, for example, 15225 + ... + 35288.

It is an arithmetic number, because the mean of its divisors is an integer number (18791208).

Almost surely, 2506746416 is an apocalyptic number.

It is an amenable number.

506746416 is an abundant number, since it is smaller than the sum of its proper divisors (996550224).

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

506746416 is a wasteful number, since it uses less digits than its factorization.

506746416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50554 (or 50548 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 506746416 is about 22511.0287636971. The cubic root of 506746416 is about 797.2543458428.

The spelling of 506746416 in words is "five hundred six million, seven hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 50513 101026 151539 202052 303078 404104 555643 606156 808208 959747 1111286 1212312 1666929 1919494 2222572 2424624 2879241 3333858 3838988 4445144 5758482 6667716 7677976 8890288 10557217 11516964 13335432 15355952 21114434 23033928 26670864 31671651 42228868 46067856 63343302 84457736 126686604 168915472 253373208 506746416