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4287249010 = 2511210135081
BaseRepresentation
bin1111111110001010…
…0011101001110010
3102001210012211000101
43333202203221302
532240013432020
61545230343014
7211146005152
oct37742435162
912053184011
104287249010
111900049700
129b795aa6a
135342a6745
142c9568762
151a15b600a
hexff8a3a72

4287249010 has 48 divisors (see below), whose sum is σ = 8566603416. Its totient is φ = 1543520000.

The previous prime is 4287248963. The next prime is 4287249011. The reversal of 4287249010 is 109427824.

It can be written as a sum of positive squares in 4 ways, for example, as 4282262721 + 4986289 = 65439^2 + 2233^2 .

It is not an unprimeable number, because it can be changed into a prime (4287249011) 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 23 ways as a sum of consecutive naturals, for example, 104670 + ... + 139750.

Almost surely, 24287249010 is an apocalyptic number.

4287249010 is a deficient number, since it is larger than the sum of its proper divisors (4279354406).

4287249010 is a wasteful number, since it uses less digits than its factorization.

4287249010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35211 (or 35200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 4287249010 is about 65477.0876719483. The cubic root of 4287249010 is about 1624.5243906729.

It can be divided in two parts, 428724 and 9010, that added together give a palindrome (437734).

The spelling of 4287249010 in words is "four billion, two hundred eighty-seven million, two hundred forty-nine thousand, ten".

Divisors: 1 2 5 10 11 22 55 101 110 121 202 242 505 605 1010 1111 1210 2222 5555 11110 12221 24442 35081 61105 70162 122210 175405 350810 385891 771782 1929455 3543181 3858910 4244801 7086362 8489602 17715905 21224005 35431810 38974991 42448010 77949982 194874955 389749910 428724901 857449802 2143624505 4287249010