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25780000 = 25541289
BaseRepresentation
bin110001001010…
…1111100100000
31210111202111211
41202111330200
523044430000
62320315504
7432061231
oct142257440
953452454
1025780000
1113608994
128772b94
13545824c
1435d1088
1523e37ba
hex1895f20

25780000 has 60 divisors (see below), whose sum is σ = 63471870. Its totient is φ = 10304000.

The previous prime is 25779997. The next prime is 25780019. The reversal of 25780000 is 8752.

It can be written as a sum of positive squares in 5 ways, for example, as 1926544 + 23853456 = 1388^2 + 4884^2 .

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 9 ways as a sum of consecutive naturals, for example, 19356 + ... + 20644.

Almost surely, 225780000 is an apocalyptic number.

25780000 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 25780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31735935).

25780000 is an abundant number, since it is smaller than the sum of its proper divisors (37691870).

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

25780000 is an equidigital number, since it uses as much as digits as its factorization.

25780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 25780000 is about 5077.4009099144. The cubic root of 25780000 is about 295.4116631326.

Adding to 25780000 its reverse (8752), we get a palindrome (25788752).

It can be divided in two parts, 2 and 5780000, that multiplied together give a square (11560000 = 34002).

The spelling of 25780000 in words is "twenty-five million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1289 2000 2500 2578 4000 5000 5156 6445 10000 10312 12890 20000 20624 25780 32225 41248 51560 64450 103120 128900 161125 206240 257800 322250 515600 644500 805625 1031200 1289000 1611250 2578000 3222500 5156000 6445000 12890000 25780000