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25313568 = 2537139271
BaseRepresentation
bin110000010010…
…0000100100000
31202122001200120
41200210010200
522440013233
62302320240
7425106330
oct140440440
952561616
1025313568
111331a505
128589080
135323b57
14350d0c0
1523504b3
hex1824120

25313568 has 96 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 7153920.

The previous prime is 25313551. The next prime is 25313569. The reversal of 25313568 is 86531352.

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

It is not an unprimeable number, because it can be changed into a prime (25313569) 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, 93273 + ... + 93543.

It is an arithmetic number, because the mean of its divisors is an integer number (799680).

Almost surely, 225313568 is an apocalyptic number.

25313568 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 25313568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

25313568 is an abundant number, since it is smaller than the sum of its proper divisors (51455712).

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

25313568 is a wasteful number, since it uses less digits than its factorization.

25313568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 25313568 is about 5031.2590869483. The cubic root of 25313568 is about 293.6192024900.

The spelling of 25313568 in words is "twenty-five million, three hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 271 278 336 417 542 556 672 813 834 973 1084 1112 1626 1668 1897 1946 2168 2224 2919 3252 3336 3794 3892 4336 4448 5691 5838 6504 6672 7588 7784 8672 11382 11676 13008 13344 15176 15568 22764 23352 26016 30352 31136 37669 45528 46704 60704 75338 91056 93408 113007 150676 182112 226014 263683 301352 452028 527366 602704 791049 904056 1054732 1205408 1582098 1808112 2109464 3164196 3616224 4218928 6328392 8437856 12656784 25313568