Search a number
-
+
4820442669 = 327229376921
BaseRepresentation
bin1000111110101001…
…00001111000101101
3110102221111212012200
410133110201320231
534333013131134
62114154452113
7230312041500
oct43724417055
913387455180
104820442669
112054017a19
12b26434039
135ba8b1353
1433a2c1137
151d32d9499
hex11f521e2d

4820442669 has 36 divisors (see below), whose sum is σ = 8378976060. Its totient is φ = 2659547520.

The previous prime is 4820442659. The next prime is 4820442673. The reversal of 4820442669 is 9662440284.

It can be written as a sum of positive squares in 2 ways, for example, as 3798873225 + 1021569444 = 61635^2 + 31962^2 .

It is not a de Polignac number, because 4820442669 - 212 = 4820438573 is a prime.

It is a super-2 number, since 2×48204426692 = 46473335050231687122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820442629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175672 + ... + 201249.

It is an arithmetic number, because the mean of its divisors is an integer number (232749335).

Almost surely, 24820442669 is an apocalyptic number.

4820442669 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4820442669 is a deficient number, since it is larger than the sum of its proper divisors (3558533391).

4820442669 is a wasteful number, since it uses less digits than its factorization.

4820442669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376970 (or 376960 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4820442669 is about 69429.4078110998. The cubic root of 4820442669 is about 1689.2566632803.

The spelling of 4820442669 in words is "four billion, eight hundred twenty million, four hundred forty-two thousand, six hundred sixty-nine".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 376921 1130763 2638447 3392289 7915341 10930709 18469129 23746023 32792127 55407387 76514963 98376381 166222161 229544889 535604741 688634667 1606814223 4820442669