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25680144 = 2437233323
BaseRepresentation
bin110000111110…
…1100100010000
31210022200112110
41201331210100
523033231034
62314225320
7431164140
oct141754420
953280473
1025680144
111354a966
128725240
135421969
1435a6920
1523c3de9
hex187d910

25680144 has 80 divisors (see below), whose sum is σ = 79137792. Its totient is φ = 7016064.

The previous prime is 25680139. The next prime is 25680169. The reversal of 25680144 is 44108652.

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 15 ways as a sum of consecutive naturals, for example, 6067 + ... + 9389.

Almost surely, 225680144 is an apocalyptic number.

25680144 is a gapful number since it is divisible by the number (24) 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 25680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39568896).

25680144 is an abundant number, since it is smaller than the sum of its proper divisors (53457648).

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

25680144 is a wasteful number, since it uses less digits than its factorization.

25680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 25680144 is about 5067.5579917747. The cubic root of 25680144 is about 295.0297547312.

Adding to 25680144 its reverse (44108652), we get a palindrome (69788796).

The spelling of 25680144 in words is "twenty-five million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3323 3864 6646 7728 9969 13292 19938 23261 26584 39876 46522 53168 69783 76429 79752 93044 139566 152858 159504 186088 229287 279132 305716 372176 458574 535003 558264 611432 917148 1070006 1116528 1222864 1605009 1834296 2140012 3210018 3668592 4280024 6420036 8560048 12840072 25680144