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2428726307 = 72294141687
BaseRepresentation
bin1001000011000011…
…0110110000100011
320021021002002011012
42100300312300203
514433223220212
61041000011135
7114120555500
oct22060666043
96237062135
102428726307
111036a53027
12579460aab
132c9235c77
141907ba4a7
15e334c922
hex90c36c23

2428726307 has 24 divisors (see below), whose sum is σ = 2994032160. Its totient is φ = 1960909440.

The previous prime is 2428726303. The next prime is 2428726343. The reversal of 2428726307 is 7036278242.

It is not a de Polignac number, because 2428726307 - 22 = 2428726303 is a prime.

It is a super-2 number, since 2×24287263072 = 11797422948627716498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2428726303) 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 23 ways as a sum of consecutive naturals, for example, 37418 + ... + 79104.

It is an arithmetic number, because the mean of its divisors is an integer number (124751340).

Almost surely, 22428726307 is an apocalyptic number.

2428726307 is a deficient number, since it is larger than the sum of its proper divisors (565305853).

2428726307 is a wasteful number, since it uses less digits than its factorization.

2428726307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41771 (or 41764 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 2428726307 is about 49282.1094008769. The cubic root of 2428726307 is about 1344.1864885176.

The spelling of 2428726307 in words is "two billion, four hundred twenty-eight million, seven hundred twenty-six thousand, three hundred seven".

Divisors: 1 7 29 41 49 203 287 1189 1421 2009 8323 41687 58261 291809 1208923 1709167 2042663 8462461 11964169 49565843 59237227 83749183 346960901 2428726307