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25289472 = 2831317149
BaseRepresentation
bin110000001111…
…0001100000000
31202120211122010
41200132030000
522433230342
62302012520
7424646145
oct140361400
952524563
1025289472
111330339a
128577140
135315bb0
1435043cc
15234829c
hex181e300

25289472 has 144 divisors (see below), whose sum is σ = 77263200. Its totient is φ = 7274496.

The previous prime is 25289377. The next prime is 25289477. The reversal of 25289472 is 27498252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25289472.

It is not an unprimeable number, because it can be changed into a prime (25289477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169654 + ... + 169802.

It is an arithmetic number, because the mean of its divisors is an integer number (536550).

Almost surely, 225289472 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 25289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38631600).

25289472 is an abundant number, since it is smaller than the sum of its proper divisors (51973728).

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

25289472 is a wasteful number, since it uses less digits than its factorization.

25289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 25289472 is about 5028.8638875993. The cubic root of 25289472 is about 293.5260074834.

The spelling of 25289472 in words is "twenty-five million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 149 156 192 204 208 221 256 272 298 312 384 408 416 442 447 544 596 624 663 768 816 832 884 894 1088 1192 1248 1326 1632 1664 1768 1788 1937 2176 2384 2496 2533 2652 3264 3328 3536 3576 3874 4352 4768 4992 5066 5304 5811 6528 7072 7152 7599 7748 9536 9984 10132 10608 11622 13056 14144 14304 15198 15496 19072 20264 21216 23244 28288 28608 30396 30992 32929 38144 40528 42432 46488 56576 57216 60792 61984 65858 81056 84864 92976 98787 114432 121584 123968 131716 162112 169728 185952 197574 243168 247936 263432 324224 371904 395148 486336 495872 526864 648448 743808 790296 972672 1053728 1487616 1580592 1945344 2107456 3161184 4214912 6322368 8429824 12644736 25289472