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25216640 = 27531241
BaseRepresentation
bin110000000110…
…0011010000000
31202110010201122
41200030122000
522423413030
62300251412
7424223621
oct140143200
952403648
1025216640
11132636a9
128540b68
1352bb9b7
1434c5a48
1523318e5
hex180c680

25216640 has 96 divisors (see below), whose sum is σ = 63810180. Its totient is φ = 9523200.

The previous prime is 25216613. The next prime is 25216657. The reversal of 25216640 is 4661252.

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 3013696 = 4712^2 + 1736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615020 + ... + 615060.

Almost surely, 225216640 is an apocalyptic number.

25216640 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 25216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31905090).

25216640 is an abundant number, since it is smaller than the sum of its proper divisors (38593540).

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

25216640 is an equidigital number, since it uses as much as digits as its factorization.

25216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 25216640 is about 5021.6172693665. The cubic root of 25216640 is about 293.2439580788.

Adding to 25216640 its reverse (4661252), we get a palindrome (29877892).

The spelling of 25216640 in words is "twenty-five million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 128 155 160 164 205 248 310 320 328 410 496 620 640 656 820 961 992 1240 1271 1312 1640 1922 1984 2480 2542 2624 3280 3844 3968 4805 4960 5084 5248 6355 6560 7688 9610 9920 10168 12710 13120 15376 19220 19840 20336 25420 26240 30752 38440 39401 40672 50840 61504 76880 78802 81344 101680 123008 153760 157604 162688 197005 203360 307520 315208 394010 406720 615040 630416 788020 813440 1260832 1576040 2521664 3152080 5043328 6304160 12608320 25216640