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25296896 = 217193
BaseRepresentation
bin110000010000…
…0000000000000
31202121012211002
41200200000000
522434000041
62302111132
7425006612
oct140400000
952535732
1025296896
1113308a29
12857b4a8
1353193a1
143506db2
15234a59b
hex1820000

25296896 has 36 divisors (see below), whose sum is σ = 50855742. Its totient is φ = 12582912.

The previous prime is 25296893. The next prime is 25296919. The reversal of 25296896 is 69869252.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23658496 + 1638400 = 4864^2 + 1280^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25296896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25296893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130976 + ... + 131168.

Almost surely, 225296896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427871).

25296896 is an abundant number, since it is smaller than the sum of its proper divisors (25558846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25296896 is an frugal number, since it uses more digits than its factorization.

25296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 25296896 is about 5029.6019723235. The cubic root of 25296896 is about 293.5547272590.

The spelling of 25296896 in words is "twenty-five million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 2048 3088 4096 6176 8192 12352 16384 24704 32768 49408 65536 98816 131072 197632 395264 790528 1581056 3162112 6324224 12648448 25296896