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25326080 = 29513761
BaseRepresentation
bin110000010011…
…1001000000000
31202122200211222
41200213020000
522440413310
62302454212
7425160653
oct140471000
952580758
1025326080
111332894a
128594368
135329760
14351389a
152354055
hex1827200

25326080 has 80 divisors (see below), whose sum is σ = 65480184. Its totient is φ = 9338880.

The previous prime is 25326079. The next prime is 25326083. The reversal of 25326080 is 8062352.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 18524416 = 2608^2 + 4304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (25326083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32900 + ... + 33660.

Almost surely, 225326080 is an apocalyptic number.

25326080 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 25326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32740092).

25326080 is an abundant number, since it is smaller than the sum of its proper divisors (40154104).

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

25326080 is an equidigital number, since it uses as much as digits as its factorization.

25326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

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

The square root of 25326080 is about 5032.5023596616. The cubic root of 25326080 is about 293.6675712586.

The spelling of 25326080 in words is "twenty-five million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 761 832 1040 1280 1522 1664 2080 2560 3044 3328 3805 4160 6088 6656 7610 8320 9893 12176 15220 16640 19786 24352 30440 33280 39572 48704 49465 60880 79144 97408 98930 121760 158288 194816 197860 243520 316576 389632 395720 487040 633152 791440 974080 1266304 1582880 1948160 2532608 3165760 5065216 6331520 12663040 25326080