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4095938025 = 3252611671787
BaseRepresentation
bin1111010000100011…
…0000110111101001
3101120110020012200100
43310020300313221
531342030004100
61514234100013
7203333620164
oct36410606751
911513205610
104095938025
111812060953
1296387a609
1350377238a
142abda8adb
1518e8c6400
hexf4230de9

4095938025 has 72 divisors (see below), whose sum is σ = 7505394624. Its totient is φ = 2134627200.

The previous prime is 4095938009. The next prime is 4095938051. The reversal of 4095938025 is 5208395904.

4095938025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4095938025 - 24 = 4095938009 is a prime.

It is a super-4 number, since 4×40959380254 (a number of 40 digits) contains 4444 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2291182 + ... + 2292968.

It is an arithmetic number, because the mean of its divisors is an integer number (104241592).

Almost surely, 24095938025 is an apocalyptic number.

4095938025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4095938025 is a deficient number, since it is larger than the sum of its proper divisors (3409456599).

4095938025 is a wasteful number, since it uses less digits than its factorization.

4095938025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4095938025 is about 63999.5158184810. The cubic root of 4095938025 is about 1599.9919302978.

The spelling of 4095938025 in words is "four billion, ninety-five million, nine hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 167 183 225 305 501 549 835 915 1503 1525 1787 2505 2745 4175 4575 5361 7515 8935 10187 12525 13725 16083 26805 30561 37575 44675 50935 80415 91683 109007 134025 152805 254675 298429 327021 402075 458415 545035 764025 895287 981063 1492145 1635105 2292075 2685861 2725175 4476435 4905315 7460725 8175525 13429305 18204169 22382175 24526575 54612507 67146525 91020845 163837521 273062535 455104225 819187605 1365312675 4095938025