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506264136 = 233729103913
BaseRepresentation
bin11110001011001…
…111101001001000
31022021121212211120
4132023033221020
52014100423021
6122122555240
715355113510
oct3613175110
91267555746
10506264136
1123a855814
12121668b20
1380b693a1
144b346840
152e6a42c6
hex1e2cfa48

506264136 has 64 divisors (see below), whose sum is σ = 1496361600. Its totient is φ = 139657728.

The previous prime is 506264123. The next prime is 506264141. The reversal of 506264136 is 631462605.

It is a junction number, because it is equal to n+sod(n) for n = 506264097 and 506264106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47085 + ... + 56828.

It is an arithmetic number, because the mean of its divisors is an integer number (23380650).

Almost surely, 2506264136 is an apocalyptic number.

506264136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506264136 is an abundant number, since it is smaller than the sum of its proper divisors (990097464).

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

506264136 is a wasteful number, since it uses less digits than its factorization.

506264136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103958 (or 103954 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 506264136 is about 22500.3141311405. The cubic root of 506264136 is about 797.0013449619.

The spelling of 506264136 in words is "five hundred six million, two hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 103913 207826 311739 415652 623478 727391 831304 1246956 1454782 2182173 2493912 2909564 3013477 4364346 5819128 6026954 8728692 9040431 12053908 17457384 18080862 21094339 24107816 36161724 42188678 63283017 72323448 84377356 126566034 168754712 253132068 506264136