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2842688025 = 325229435661
BaseRepresentation
bin1010100101101111…
…1111101000011001
321100010000111212200
42221123333220121
521310212004100
61150024400413
7130305310122
oct25133775031
97303014780
102842688025
111229694651
12674016109
13363c25428
141cd777049
1511986ce00
hexa96ffa19

2842688025 has 36 divisors (see below), whose sum is σ = 5267153580. Its totient is φ = 1463817600.

The previous prime is 2842687987. The next prime is 2842688041. The reversal of 2842688025 is 5208862482.

It can be written as a sum of positive squares in 6 ways, for example, as 482768784 + 2359919241 = 21972^2 + 48579^2 .

It is not a de Polignac number, because 2842688025 - 28 = 2842687769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211306 + ... + 224355.

Almost surely, 22842688025 is an apocalyptic number.

2842688025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2842688025 is a deficient number, since it is larger than the sum of its proper divisors (2424465555).

2842688025 is a wasteful number, since it uses less digits than its factorization.

2842688025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435706 (or 435698 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2842688025 is about 53316.8643582872. The cubic root of 2842688025 is about 1416.5863956056.

The spelling of 2842688025 in words is "two billion, eight hundred forty-two million, six hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 435661 1306983 2178305 3920949 6534915 10891525 12634169 19604745 32674575 37902507 63170845 98023725 113707521 189512535 315854225 568537605 947562675 2842688025