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4057653249 = 321334680797
BaseRepresentation
bin1111000111011010…
…1110000000000001
3101110210012010211200
43301312232000001
531302224400444
61510345331413
7202360324566
oct36166560001
911423163750
104057653249
1117a2491a41
12952a96b69
134c8859470
142a6c8086d
1518b362969
hexf1dae001

4057653249 has 12 divisors (see below), whose sum is σ = 6311905236. Its totient is φ = 2497017312.

The previous prime is 4057653241. The next prime is 4057653253. The reversal of 4057653249 is 9423567504.

4057653249 is a `hidden beast` number, since 4 + 0 + 5 + 76 + 532 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2430983025 + 1626670224 = 49305^2 + 40332^2 .

It is not a de Polignac number, because 4057653249 - 23 = 4057653241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4057653241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17340282 + ... + 17340515.

It is an arithmetic number, because the mean of its divisors is an integer number (525992103).

Almost surely, 24057653249 is an apocalyptic number.

It is an amenable number.

4057653249 is a deficient number, since it is larger than the sum of its proper divisors (2254251987).

4057653249 is a wasteful number, since it uses less digits than its factorization.

4057653249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34680816 (or 34680813 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4057653249 is about 63699.7115299591. The cubic root of 4057653249 is about 1594.9912702162.

The spelling of 4057653249 in words is "four billion, fifty-seven million, six hundred fifty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 117 34680797 104042391 312127173 450850361 1352551083 4057653249