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4064000625 = 3254722489
BaseRepresentation
bin1111001000111011…
…1011101001110001
3101111020010121210200
43302032323221301
531310341010000
61511133345413
7202465302216
oct36216735161
911436117720
104064000625
1117a6027903
12955038269
134c9c6c5c9
142a7a53b0d
1518bbb8500
hexf23bba71

4064000625 has 30 divisors (see below), whose sum is σ = 7335440970. Its totient is φ = 2167464000.

The previous prime is 4064000623. The next prime is 4064000627. The reversal of 4064000625 is 5260004604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4064000623) and next prime (4064000627).

It can be written as a sum of positive squares in 5 ways, for example, as 593848161 + 3470152464 = 24369^2 + 58908^2 .

It is not a de Polignac number, because 4064000625 - 21 = 4064000623 is a prime.

It is a super-2 number, since 2×40640006252 = 33032202160000781250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064000623) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 355620 + ... + 366869.

It is an arithmetic number, because the mean of its divisors is an integer number (244514699).

Almost surely, 24064000625 is an apocalyptic number.

4064000625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4064000625 is a deficient number, since it is larger than the sum of its proper divisors (3271440345).

4064000625 is an equidigital number, since it uses as much as digits as its factorization.

4064000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722515 (or 722497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4064000625 is about 63749.5147040352. The cubic root of 4064000625 is about 1595.8225171040.

The spelling of 4064000625 in words is "four billion, sixty-four million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 722489 2167467 3612445 6502401 10837335 18062225 32512005 54186675 90311125 162560025 270933375 451555625 812800125 1354666875 4064000625