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25930128 = 2437229337
BaseRepresentation
bin110001011101…
…0100110010000
31210210101110010
41202322212100
523114231003
62323434520
7433255020
oct142724620
953711403
1025930128
1113700764
128825a40
1354ab693
14362da80
152423003
hex18ba990

25930128 has 80 divisors (see below), whose sum is σ = 77118080. Its totient is φ = 7354368.

The previous prime is 25930109. The next prime is 25930133. The reversal of 25930128 is 82103952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25930095 and 25930104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76776 + ... + 77112.

It is an arithmetic number, because the mean of its divisors is an integer number (963976).

Almost surely, 225930128 is an apocalyptic number.

25930128 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 25930128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559040).

25930128 is an abundant number, since it is smaller than the sum of its proper divisors (51187952).

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

25930128 is a wasteful number, since it uses less digits than its factorization.

25930128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25930128 is about 5092.1633909371. The cubic root of 25930128 is about 295.9839898816.

The spelling of 25930128 in words is "twenty-five million, nine hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 337 458 674 687 916 1011 1348 1374 1603 1832 2022 2359 2696 2748 3206 3664 4044 4718 4809 5392 5496 6412 7077 8088 9436 9618 10992 12824 14154 16176 18872 19236 25648 28308 37744 38472 56616 76944 77173 113232 154346 231519 308692 463038 540211 617384 926076 1080422 1234768 1620633 1852152 2160844 3241266 3704304 4321688 6482532 8643376 12965064 25930128