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25320672 = 2532136763
BaseRepresentation
bin110000010010…
…1110011100000
31202122102102200
41200211303200
522440230142
62302413200
7425136126
oct140456340
952572380
1025320672
1113324883
128591200
135327160
143511916
15235264c
hex1825ce0

25320672 has 72 divisors (see below), whose sum is σ = 77556024. Its totient is φ = 7789824.

The previous prime is 25320671. The next prime is 25320689. The reversal of 25320672 is 27602352.

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

It is a super-2 number, since 2×253206722 = 1282272861063168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25320671) 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, 363 + ... + 7125.

It is an arithmetic number, because the mean of its divisors is an integer number (1077167).

Almost surely, 225320672 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 25320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778012).

25320672 is an abundant number, since it is smaller than the sum of its proper divisors (52235352).

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

25320672 is a wasteful number, since it uses less digits than its factorization.

25320672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 25320672 is about 5031.9650237258. The cubic root of 25320672 is about 293.6466670197.

The spelling of 25320672 in words is "twenty-five million, three hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 6763 13526 20289 27052 40578 54104 60867 81156 87919 108208 121734 162312 175838 216416 243468 263757 324624 351676 486936 527514 649248 703352 791271 973872 1055028 1406704 1582542 1947744 2110056 2813408 3165084 4220112 6330168 8440224 12660336 25320672