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4682682401 = 233189109677
BaseRepresentation
bin1000101110001110…
…00001000000100001
3110002100021220122112
410113013001000201
534042231314101
62052354045105
7224020100165
oct42707010041
913070256575
104682682401
111a93285661
12aa8279795
135981a95b7
14325ca0ca5
151c61766bb
hex1171c1021

4682682401 has 32 divisors (see below), whose sum is σ = 5154969600. Its totient is φ = 4240304640.

The previous prime is 4682682311. The next prime is 4682682437. The reversal of 4682682401 is 1042862864.

4682682401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4682682401 - 218 = 4682420257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4682682481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6916475 + ... + 6917151.

It is an arithmetic number, because the mean of its divisors is an integer number (161092800).

Almost surely, 24682682401 is an apocalyptic number.

It is an amenable number.

4682682401 is a deficient number, since it is larger than the sum of its proper divisors (472287199).

4682682401 is a wasteful number, since it uses less digits than its factorization.

4682682401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 4682682401 is about 68430.1278750815. The cubic root of 4682682401 is about 1673.0088347612.

The spelling of 4682682401 in words is "four billion, six hundred eighty-two million, six hundred eighty-two thousand, four hundred one".

Divisors: 1 23 31 89 109 677 713 2047 2507 2759 3379 9701 15571 20987 60253 63457 73793 77717 223123 300731 482701 1385819 1697239 1867843 2287583 6567577 6916813 42960389 52614409 151054271 203594887 4682682401