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427159125 = 32532913093
BaseRepresentation
bin11001011101011…
…110111001010101
31002202202221011100
4121131132321111
51333323043000
6110215300313
713404535611
oct3135367125
91082687140
10427159125
111aa135a78
12bb07a699
136a6604a3
1440a34341
152777aa00
hex1975ee55

427159125 has 48 divisors (see below), whose sum is σ = 796638960. Its totient is φ = 219945600.

The previous prime is 427159123. The next prime is 427159127. The reversal of 427159125 is 521951724.

427159125 is a `hidden beast` number, since 42 + 7 + 1 + 591 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (427159123) and next prime (427159127).

It can be written as a sum of positive squares in 8 ways, for example, as 52620516 + 374538609 = 7254^2 + 19353^2 .

It is not a de Polignac number, because 427159125 - 21 = 427159123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 427159125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427159123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26079 + ... + 39171.

It is an arithmetic number, because the mean of its divisors is an integer number (16596645).

Almost surely, 2427159125 is an apocalyptic number.

427159125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427159125 is a deficient number, since it is larger than the sum of its proper divisors (369479835).

427159125 is a wasteful number, since it uses less digits than its factorization.

427159125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143 (or 13130 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 427159125 is about 20667.8282603664. The cubic root of 427159125 is about 753.1183498893.

The spelling of 427159125 in words is "four hundred twenty-seven million, one hundred fifty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 13093 32625 39279 65465 117837 196395 327325 379697 589185 981975 1139091 1636625 1898485 2945925 3417273 4909875 5695455 9492425 14729625 17086365 28477275 47462125 85431825 142386375 427159125