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4840402329 = 327233132
BaseRepresentation
bin1001000001000001…
…01010110110011001
3110111100001220201100
410200200222312121
534403120333304
62120150342013
7230643512100
oct44040526631
913440056640
104840402329
11206430aa04
12b3105a909
135c1a7c2b9
1433cbd9037
151d4e2d439
hex12082ad99

4840402329 has 27 divisors (see below), whose sum is σ = 8135648703. Its totient is φ = 2765109312.

The previous prime is 4840402321. The next prime is 4840402363. The reversal of 4840402329 is 9232040484.

The square root of 4840402329 is 69573.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4473603225 + 366799104 = 66885^2 + 19152^2 .

It is not a de Polignac number, because 4840402329 - 23 = 4840402321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4840402293 and 4840402302.

It is not an unprimeable number, because it can be changed into a prime (4840402321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1459377 + ... + 1462689.

Almost surely, 24840402329 is an apocalyptic number.

4840402329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4840402329 is the 69573-rd square number.

4840402329 is the 34787-th centered octagonal number.

It is an amenable number.

4840402329 is a deficient number, since it is larger than the sum of its proper divisors (3295246374).

4840402329 is an frugal number, since it uses more digits than its factorization.

4840402329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 4840402329 is about 1691.5849804922.

Multiplying 4840402329 by its sum of digits (36), we get a square (174254483844 = 4174382).

The spelling of 4840402329 in words is "four billion, eight hundred forty million, four hundred two thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 3313 9939 23191 29817 69573 162337 208719 487011 1461033 10975969 32927907 76831783 98783721 230495349 537822481 691486047 1613467443 4840402329