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25493328 = 2432723613
BaseRepresentation
bin110000100111…
…1111101010000
31202222012021100
41201033331100
523011241303
62310224400
7426455400
oct141177520
952865240
1025493328
1113432573
128655100
135387913
143558800
1523888a3
hex184ff50

25493328 has 90 divisors (see below), whose sum is σ = 83017194. Its totient is φ = 7281792.

The previous prime is 25493323. The next prime is 25493329. The reversal of 25493328 is 82339452.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 12446784 = 3612^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 25493292 and 25493301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25493323) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5250 + ... + 8862.

Almost surely, 225493328 is an apocalyptic number.

25493328 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 25493328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41508597).

25493328 is an abundant number, since it is smaller than the sum of its proper divisors (57523866).

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

25493328 is a wasteful number, since it uses less digits than its factorization.

25493328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3625 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 25493328 is about 5049.0917995220. The cubic root of 25493328 is about 294.3125926911.

The spelling of 25493328 in words is "twenty-five million, four hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 3613 7056 7226 10839 14452 21678 25291 28904 32517 43356 50582 57808 65034 75873 86712 101164 130068 151746 173424 177037 202328 227619 260136 303492 354074 404656 455238 520272 531111 606984 708148 910476 1062222 1213968 1416296 1593333 1820952 2124444 2832592 3186666 3641904 4248888 6373332 8497776 12746664 25493328