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2024408241 = 33277270679
BaseRepresentation
bin111100010101010…
…0000010010110001
312020002021121001000
41320222200102301
513121222030431
6532514032213
7101111120562
oct17052402261
95202247030
102024408241
119497a8969
12485b78669
132635420cb
14152c10169
15bcad49e6
hex78aa04b1

2024408241 has 16 divisors (see below), whose sum is σ = 3009961600. Its totient is φ = 1344728304.

The previous prime is 2024408231. The next prime is 2024408261. The reversal of 2024408241 is 1428044202.

It is not a de Polignac number, because 2024408241 - 25 = 2024408209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2024408231) 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 15 ways as a sum of consecutive naturals, for example, 127861 + ... + 142818.

It is an arithmetic number, because the mean of its divisors is an integer number (188122600).

Almost surely, 22024408241 is an apocalyptic number.

It is an amenable number.

2024408241 is a deficient number, since it is larger than the sum of its proper divisors (985553359).

2024408241 is a wasteful number, since it uses less digits than its factorization.

2024408241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270965 (or 270959 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2024408241 is about 44993.4244195749. The cubic root of 2024408241 is about 1265.0257491881.

It can be divided in two parts, 202440 and 8241, that added together give a square (210681 = 4592).

The spelling of 2024408241 in words is "two billion, twenty-four million, four hundred eight thousand, two hundred forty-one".

Divisors: 1 3 9 27 277 831 2493 7479 270679 812037 2436111 7308333 74978083 224934249 674802747 2024408241