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4001195025 = 325242172
BaseRepresentation
bin1110111001111101…
…0110010000010001
3101022211221202201100
43232133112100101
531143301220100
61501011255013
7201103411422
oct35637262021
911284852640
104001195025
111773630053
12937baa469
134b9c4c629
1429d585649
1518640e400
hexee7d6411

4001195025 has 27 divisors (see below), whose sum is σ = 7168284721. Its totient is φ = 2133464640.

The previous prime is 4001194997. The next prime is 4001195041. The reversal of 4001195025 is 5205911004.

The square root of 4001195025 is 63255.

It is a perfect power (a square), and thus also a powerful number.

4001195025 is a `hidden beast` number, since 40 + 0 + 119 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 356416641 + 3644778384 = 18879^2 + 60372^2 .

It is not a de Polignac number, because 4001195025 - 25 = 4001194993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001195025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 946717 + ... + 950933.

Almost surely, 24001195025 is an apocalyptic number.

4001195025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4001195025 is the 63255-th square number.

4001195025 is the 31628-th centered octagonal number.

It is an amenable number.

4001195025 is a deficient number, since it is larger than the sum of its proper divisors (3167089696).

4001195025 is an frugal number, since it uses more digits than its factorization.

4001195025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 4001195025 is about 1587.5591182233.

The spelling of 4001195025 in words is "four billion, one million, one hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4217 12651 21085 37953 63255 105425 189765 316275 948825 17783089 53349267 88915445 160047801 266746335 444577225 800239005 1333731675 4001195025