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25857225 = 34521132
BaseRepresentation
bin110001010100…
…0110011001001
31210122200110000
41202220303021
523104412400
62322113213
7432532332
oct142506311
953580400
1025857225
1113660a09
1287ab809
135484444
143611289
15240b600
hex18a8cc9

25857225 has 45 divisors (see below), whose sum is σ = 48324133. Its totient is φ = 13668480.

The previous prime is 25857217. The next prime is 25857263. The reversal of 25857225 is 52275852.

The square root of 25857225 is 5085.

It is a perfect power (a square), and thus also a powerful number.

25857225 is a `hidden beast` number, since 2 + 585 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13155129 + 12702096 = 3627^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 25857225 - 23 = 25857217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25857225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 228769 + ... + 228881.

Almost surely, 225857225 is an apocalyptic number.

25857225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25857225 is the 5085-th square number.

25857225 is the 2543-rd centered octagonal number.

It is an amenable number.

25857225 is a deficient number, since it is larger than the sum of its proper divisors (22466908).

25857225 is an equidigital number, since it uses as much as digits as its factorization.

25857225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 121 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The cubic root of 25857225 is about 295.7063414915.

Multiplying 25857225 by its sum of digits (36), we get a square (930860100 = 305102).

The spelling of 25857225 in words is "twenty-five million, eight hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 113 135 225 339 405 565 675 1017 1695 2025 2825 3051 5085 8475 9153 12769 15255 25425 38307 45765 63845 76275 114921 191535 228825 319225 344763 574605 957675 1034289 1723815 2873025 5171445 8619075 25857225