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4287986241 = 3711148312517
BaseRepresentation
bin1111111110010101…
…0111101001000001
3102001211121021022020
43333211113221001
532240211024431
61545254232053
7211155165420
oct37745275101
912054537266
104287986241
111900502590
129b8055629
135344a4186
142c96bb2b7
151a16ae696
hexff957a41

4287986241 has 32 divisors (see below), whose sum is σ = 7133457408. Its totient is φ = 2225845440.

The previous prime is 4287986239. The next prime is 4287986243. The reversal of 4287986241 is 1426897824.

4287986241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4287986239) and next prime (4287986243).

It is not a de Polignac number, because 4287986241 - 21 = 4287986239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4287986243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336315 + ... + 348831.

It is an arithmetic number, because the mean of its divisors is an integer number (222920544).

Almost surely, 24287986241 is an apocalyptic number.

It is an amenable number.

4287986241 is a deficient number, since it is larger than the sum of its proper divisors (2845471167).

4287986241 is a wasteful number, since it uses less digits than its factorization.

4287986241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021.

The product of its digits is 1548288, while the sum is 51.

The square root of 4287986241 is about 65482.7171168088. The cubic root of 4287986241 is about 1624.6175025259.

It can be divided in two parts, 4287 and 986241, that added together give a triangular number (990528 = T1407).

The spelling of 4287986241 in words is "four billion, two hundred eighty-seven million, nine hundred eighty-six thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 1483 4449 10381 12517 16313 31143 37551 48939 87619 114191 137687 262857 342573 413061 963809 2891427 18562711 55688133 129938977 204189821 389816931 612569463 1429328747 4287986241