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25304864 = 2513591031
BaseRepresentation
bin110000010000…
…1111100100000
31202121121202012
41200201330200
522434223424
62302212052
7425042054
oct140417440
952547665
1025304864
1113313a12
128584028
13531cbc0
143509c64
15234cb0e
hex1821f20

25304864 has 48 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 11470080.

The previous prime is 25304863. The next prime is 25304869. The reversal of 25304864 is 46840352.

It is a super-2 number, since 2×253048642 = 1280672284116992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 25304864.

It is not an unprimeable number, because it can be changed into a prime (25304861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24029 + ... + 25059.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 225304864 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 25304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

25304864 is an abundant number, since it is smaller than the sum of its proper divisors (29308576).

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

25304864 is a wasteful number, since it uses less digits than its factorization.

25304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 25304864 is about 5030.3940203527. The cubic root of 25304864 is about 293.5855452498.

The spelling of 25304864 in words is "twenty-five million, three hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 1031 1534 1888 2062 3068 4124 6136 8248 12272 13403 16496 24544 26806 32992 53612 60829 107224 121658 214448 243316 428896 486632 790777 973264 1581554 1946528 3163108 6326216 12652432 25304864