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8127225 = 325241881
BaseRepresentation
bin11111000000001011111001
3120021220110100
4133000023321
54040032400
6450110013
7126036351
oct37001371
916256410
108127225
114651117
12287b309
1318b7312
141117b61
15aa8100
hex7c02f9

8127225 has 36 divisors (see below), whose sum is σ = 14928732. Its totient is φ = 4224000.

The previous prime is 8127209. The next prime is 8127227. The reversal of 8127225 is 5227218.

It can be written as a sum of positive squares in 6 ways, for example, as 2595321 + 5531904 = 1611^2 + 2352^2 .

It is not a de Polignac number, because 8127225 - 24 = 8127209 is a prime.

It is a d-powerful number, because it can be written as 86 + 1 + 2 + 78 + 220 + 220 + 55 .

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8127227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8785 + ... + 9665.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 28127225 is an apocalyptic number.

It is an amenable number.

8127225 is a deficient number, since it is larger than the sum of its proper divisors (6801507).

8127225 is a wasteful number, since it uses less digits than its factorization.

8127225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 8127225 is about 2850.8288268502. The cubic root of 8127225 is about 201.0546372593.

It can be divided in two parts, 81 and 27225, that multiplied together give a square (2205225 = 14852).

The spelling of 8127225 in words is "eight million, one hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 881 1025 1845 2643 3075 4405 7929 9225 13215 22025 36121 39645 66075 108363 180605 198225 325089 541815 903025 1625445 2709075 8127225