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25690000 = 24547367
BaseRepresentation
bin110000111111…
…1111110010000
31210100012001111
41201333332100
523034040000
62314343104
7431234650
oct141777620
953305044
1025690000
1113557306
12872aa94
1354262ab
1435aa360
1523c6cba
hex187ff90

25690000 has 100 divisors (see below), whose sum is σ = 71277184. Its totient is φ = 8784000.

The previous prime is 25689991. The next prime is 25690003. The reversal of 25690000 is 9652.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×256900002 = 1319952200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25690003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69817 + ... + 70183.

Almost surely, 225690000 is an apocalyptic number.

25690000 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 25690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638592).

25690000 is an abundant number, since it is smaller than the sum of its proper divisors (45587184).

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

25690000 is an equidigital number, since it uses as much as digits as its factorization.

25690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 25690000 is about 5068.5303589897. The cubic root of 25690000 is about 295.0674938931.

Adding to 25690000 its reverse (9652), we get a palindrome (25699652).

It can be divided in two parts, 256 and 90000, that multiplied together give a square (23040000 = 48002).

The spelling of 25690000 in words is "twenty-five million, six hundred ninety thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 367 400 500 560 625 700 734 875 1000 1250 1400 1468 1750 1835 2000 2500 2569 2800 2936 3500 3670 4375 5000 5138 5872 7000 7340 8750 9175 10000 10276 12845 14000 14680 17500 18350 20552 25690 29360 35000 36700 41104 45875 51380 64225 70000 73400 91750 102760 128450 146800 183500 205520 229375 256900 321125 367000 458750 513800 642250 734000 917500 1027600 1284500 1605625 1835000 2569000 3211250 3670000 5138000 6422500 12845000 25690000