Search a number
-
+
25408768 = 287111289
BaseRepresentation
bin110000011101…
…1010100000000
31202210220021111
41200323110000
523001040033
62304333104
7425654020
oct140732400
952726244
1025408768
1113384a90
128614194
135358298
143535a80
15236d7cd
hex183b500

25408768 has 72 divisors (see below), whose sum is σ = 63282240. Its totient is φ = 9891840.

The previous prime is 25408739. The next prime is 25408769. The reversal of 25408768 is 86780452.

It is a self number, because there is not a number n which added to its sum of digits gives 25408768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25408769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19068 + ... + 20356.

It is an arithmetic number, because the mean of its divisors is an integer number (878920).

Almost surely, 225408768 is an apocalyptic number.

25408768 is a gapful number since it is divisible by the number (28) 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 25408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641120).

25408768 is an abundant number, since it is smaller than the sum of its proper divisors (37873472).

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

25408768 is a wasteful number, since it uses less digits than its factorization.

25408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 25408768 is about 5040.7110609516. The cubic root of 25408768 is about 293.9868258863.

The spelling of 25408768 in words is "twenty-five million, four hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1289 1408 1792 2464 2578 2816 4928 5156 9023 9856 10312 14179 18046 19712 20624 28358 36092 41248 56716 72184 82496 99253 113432 144368 164992 198506 226864 288736 329984 397012 453728 577472 794024 907456 1154944 1588048 1814912 2309888 3176096 3629824 6352192 12704384 25408768