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2424086825 = 52915710589
BaseRepresentation
bin1001000001111100…
…1010000100101001
320020221100100222112
42100133022010221
514431031234300
61040312332105
7114033253346
oct22037120451
96227310875
102424086825
111034374346
125779a4035
132c82a0304
1418dd2d7cd
15e2c32e35
hex907ca129

2424086825 has 12 divisors (see below), whose sum is σ = 3006479820. Its totient is φ = 1938874560.

The previous prime is 2424086813. The next prime is 2424086851. The reversal of 2424086825 is 5286804242.

It can be written as a sum of positive squares in 6 ways, for example, as 672831721 + 1751255104 = 25939^2 + 41848^2 .

It is not a de Polignac number, because 2424086825 - 26 = 2424086761 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 223631 + ... + 234219.

It is an arithmetic number, because the mean of its divisors is an integer number (250539985).

Almost surely, 22424086825 is an apocalyptic number.

2424086825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2424086825 is a deficient number, since it is larger than the sum of its proper divisors (582392995).

2424086825 is a wasteful number, since it uses less digits than its factorization.

2424086825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 19751 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 2424086825 is about 49235.0162486010. The cubic root of 2424086825 is about 1343.3300307920.

The spelling of 2424086825 in words is "two billion, four hundred twenty-four million, eighty-six thousand, eight hundred twenty-five".

Divisors: 1 5 25 9157 10589 45785 52945 228925 264725 96963473 484817365 2424086825