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25114128 = 24313167241
BaseRepresentation
bin101111111001…
…1011000010000
31202020221002220
41133303120100
522412123003
62254141040
7423316014
oct137633020
952227086
1025114128
11131a3686
1284b1780
135284140
14349a544
152311353
hex17f3610

25114128 has 80 divisors (see below), whose sum is σ = 70578816. Its totient is φ = 7649280.

The previous prime is 25114097. The next prime is 25114147. The reversal of 25114128 is 82141152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 25114098 and 25114107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104088 + ... + 104328.

Almost surely, 225114128 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 25114128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35289408).

25114128 is an abundant number, since it is smaller than the sum of its proper divisors (45464688).

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

25114128 is a wasteful number, since it uses less digits than its factorization.

25114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 25114128 is about 5011.3998044459. The cubic root of 25114128 is about 292.8460481789.

The spelling of 25114128 in words is "twenty-five million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 241 312 334 482 501 624 668 723 964 1002 1336 1446 1928 2004 2171 2672 2892 3133 3856 4008 4342 5784 6266 6513 8016 8684 9399 11568 12532 13026 17368 18798 25064 26052 34736 37596 40247 50128 52104 75192 80494 104208 120741 150384 160988 241482 321976 482964 523211 643952 965928 1046422 1569633 1931856 2092844 3139266 4185688 6278532 8371376 12557064 25114128