Search a number
-
+
25225344 = 2735811
BaseRepresentation
bin110000000111…
…0100010000000
31202110120200000
41200032202000
522424202334
62300400000
7424261164
oct140164200
952416600
1025225344
111326a1a1
128546000
1352c2951
1434c8ca4
152334299
hex180e880

25225344 has 96 divisors (see below), whose sum is σ = 75369840. Its totient is φ = 8398080.

The previous prime is 25225337. The next prime is 25225363. The reversal of 25225344 is 44352252.

It is a happy number.

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 (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30699 + ... + 31509.

Almost surely, 225225344 is an apocalyptic number.

25225344 is a gapful number since it is divisible by the number (24) 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 25225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37684920).

25225344 is an abundant number, since it is smaller than the sum of its proper divisors (50144496).

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

25225344 is an frugal number, since it uses more digits than its factorization.

25225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 816 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 25225344 is about 5022.4838476594. The cubic root of 25225344 is about 293.2776937628.

Adding to 25225344 its reverse (44352252), we get a palindrome (69577596).

The spelling of 25225344 in words is "twenty-five million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 811 864 972 1152 1296 1622 1728 1944 2433 2592 3244 3456 3888 4866 5184 6488 7299 7776 9732 10368 12976 14598 15552 19464 21897 25952 29196 31104 38928 43794 51904 58392 65691 77856 87588 103808 116784 131382 155712 175176 197073 233568 262764 311424 350352 394146 467136 525528 700704 788292 934272 1051056 1401408 1576584 2102112 2802816 3153168 4204224 6306336 8408448 12612672 25225344