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4255114400 = 25525318893
BaseRepresentation
bin1111110110011111…
…1110010010100000
3101222112202012121122
43331213332102200
532203302130100
61542121511412
7210305606225
oct37547762240
911875665548
104255114400
1118939a0479
129a9042568
1352a734c94
142c51a194c
1519d869985
hexfd9fe4a0

4255114400 has 36 divisors (see below), whose sum is σ = 10387799982. Its totient is φ = 1702045440.

The previous prime is 4255114387. The next prime is 4255114417. The reversal of 4255114400 is 44115524.

It can be written as a sum of positive squares in 3 ways, for example, as 3652510096 + 602604304 = 60436^2 + 24548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4255114400.

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 5 ways as a sum of consecutive naturals, for example, 2658647 + ... + 2660246.

Almost surely, 24255114400 is an apocalyptic number.

4255114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4255114400 is an abundant number, since it is smaller than the sum of its proper divisors (6132685582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4255114400 is a wasteful number, since it uses less digits than its factorization.

4255114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318913 (or 5318900 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 4255114400 is about 65231.2379155877. The cubic root of 4255114400 is about 1620.4553919664.

Adding to 4255114400 its reverse (44115524), we get a palindrome (4299229924).

The spelling of 4255114400 in words is "four billion, two hundred fifty-five million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 5318893 10637786 21275572 26594465 42551144 53188930 85102288 106377860 132972325 170204576 212755720 265944650 425511440 531889300 851022880 1063778600 2127557200 4255114400