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25280928 = 2532412141
BaseRepresentation
bin110000001110…
…0000110100000
31202120101220200
41200130012200
522432442203
62301505200
7424612221
oct140340640
952511820
1025280928
11132a7a32
128572200
13531203a
143501248
1523459a3
hex181c1a0

25280928 has 72 divisors (see below), whose sum is σ = 73680516. Its totient is φ = 8217600.

The previous prime is 25280923. The next prime is 25280939. The reversal of 25280928 is 82908252.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 144 = 5028^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25280892 and 25280901.

It is not an unprimeable number, because it can be changed into a prime (25280923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10738 + ... + 12878.

Almost surely, 225280928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840258).

25280928 is an abundant number, since it is smaller than the sum of its proper divisors (48399588).

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

25280928 is a wasteful number, since it uses less digits than its factorization.

25280928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25280928 is about 5028.0143197887. The cubic root of 25280928 is about 293.4929480257.

It can be divided in two parts, 2528092 and 8, that added together give a square (2528100 = 15902).

The spelling of 25280928 in words is "twenty-five million, two hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2141 2952 3936 4282 5904 6423 8564 11808 12846 17128 19269 25692 34256 38538 51384 68512 77076 87781 102768 154152 175562 205536 263343 308304 351124 526686 616608 702248 790029 1053372 1404496 1580058 2106744 2808992 3160116 4213488 6320232 8426976 12640464 25280928