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25132000 = 255361103
BaseRepresentation
bin101111111011…
…1101111100000
31202021211121211
41133313233200
522413211000
62254355504
7423422065
oct137675740
952254554
1025132000
1113206053
1284bbb94
13528c30a
1434a2c6c
1523167ba
hex17f7be0

25132000 has 96 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 9792000.

The previous prime is 25131983. The next prime is 25132007. The reversal of 25132000 is 23152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243949 + ... + 244051.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 225132000 is an apocalyptic number.

25132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

25132000 is an abundant number, since it is smaller than the sum of its proper divisors (38238944).

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

25132000 is a wasteful number, since it uses less digits than its factorization.

25132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 25132000 is about 5013.1826218481. The cubic root of 25132000 is about 292.9154978470.

Adding to 25132000 its reverse (23152), we get a palindrome (25155152).

The spelling of 25132000 in words is "twenty-five million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 103 122 125 160 200 206 244 250 305 400 412 488 500 515 610 800 824 976 1000 1030 1220 1525 1648 1952 2000 2060 2440 2575 3050 3296 4000 4120 4880 5150 6100 6283 7625 8240 9760 10300 12200 12566 12875 15250 16480 20600 24400 25132 25750 30500 31415 41200 48800 50264 51500 61000 62830 82400 100528 103000 122000 125660 157075 201056 206000 244000 251320 314150 412000 502640 628300 785375 1005280 1256600 1570750 2513200 3141500 5026400 6283000 12566000 25132000