Search a number
-
+
25085280 = 2535114751
BaseRepresentation
bin101111110110…
…0010101100000
31202012110112110
41133230111200
522410212110
62253355320
7423135633
oct137542540
952173473
1025085280
1113183a40
128498b40
135273c7c
14348dc1a
152307a20
hex17ec560

25085280 has 96 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 6080000.

The previous prime is 25085279. The next prime is 25085309. The reversal of 25085280 is 8258052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 225085280 is an apocalyptic number.

25085280 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 25085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144).

25085280 is an abundant number, since it is smaller than the sum of its proper divisors (61135008).

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

25085280 is a wasteful number, since it uses less digits than its factorization.

25085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25085280 is about 5008.5207396995. The cubic root of 25085280 is about 292.7338767941.

The spelling of 25085280 in words is "twenty-five million, eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 4751 5280 9502 14253 19004 23755 28506 38008 47510 52261 57012 71265 76016 95020 104522 114024 142530 152032 156783 190040 209044 228048 261305 285060 313566 380080 418088 456096 522610 570120 627132 760160 783915 836176 1045220 1140240 1254264 1567830 1672352 2090440 2280480 2508528 3135660 4180880 5017056 6271320 8361760 12542640 25085280