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25139232 = 2532412129
BaseRepresentation
bin101111111100…
…1100000100000
31202022012112200
41133321200200
522413423412
62254453200
7423452136
oct137714040
952265480
1025139232
1113210528
128504200
1352926b1
1434a5756
1523189dc
hex17f9820

25139232 has 72 divisors (see below), whose sum is σ = 73267740. Its totient is φ = 8171520.

The previous prime is 25139227. The next prime is 25139239. The reversal of 25139232 is 23293152.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 4016016 = 4596^2 + 2004^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25139196 and 25139205.

It is not an unprimeable number, because it can be changed into a prime (25139239) 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, 10744 + ... + 12872.

Almost surely, 225139232 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 25139232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36633870).

25139232 is an abundant number, since it is smaller than the sum of its proper divisors (48128508).

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

25139232 is a wasteful number, since it uses less digits than its factorization.

25139232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2175 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 25139232 is about 5013.9038682448. The cubic root of 25139232 is about 292.9435916679.

The spelling of 25139232 in words is "twenty-five million, one hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2129 2952 3936 4258 5904 6387 8516 11808 12774 17032 19161 25548 34064 38322 51096 68128 76644 87289 102192 153288 174578 204384 261867 306576 349156 523734 613152 698312 785601 1047468 1396624 1571202 2094936 2793248 3142404 4189872 6284808 8379744 12569616 25139232