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25253228 = 227211131753
BaseRepresentation
bin110000001010…
…1010101101100
31202111222220202
41200111111230
522431100403
62301133032
7424435400
oct140252554
952458822
1025253228
1113289140
12855a178
135302550
1434d5100
15233c688
hex181556c

25253228 has 144 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 8386560.

The previous prime is 25253213. The next prime is 25253237. The reversal of 25253228 is 82235252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25253228.

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 47 ways as a sum of consecutive naturals, for example, 476450 + ... + 476502.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 225253228 is an apocalyptic number.

25253228 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 25253228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

25253228 is an abundant number, since it is smaller than the sum of its proper divisors (39901876).

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

25253228 is a wasteful number, since it uses less digits than its factorization.

25253228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 25253228 is about 5025.2589983005. The cubic root of 25253228 is about 293.3857166550.

The spelling of 25253228 in words is "twenty-five million, two hundred fifty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 49 52 53 68 77 91 98 106 119 143 154 182 187 196 212 221 238 286 308 364 371 374 442 476 539 572 583 637 689 742 748 833 884 901 1001 1078 1166 1274 1309 1378 1484 1547 1666 1802 2002 2156 2332 2431 2548 2597 2618 2756 3094 3332 3604 4004 4081 4823 4862 5194 5236 6188 6307 7007 7579 8162 9163 9646 9724 9911 10388 10829 11713 12614 14014 15158 16324 17017 18326 19292 19822 21658 23426 25228 28028 28567 30316 33761 34034 36652 39644 43316 44149 46852 53053 57134 67522 68068 69377 81991 88298 106106 114268 119119 128843 135044 138754 163982 176596 212212 238238 257686 277508 327964 371371 476476 485639 515372 573937 742742 901901 971278 1147874 1485484 1803802 1942556 2295748 3607604 6313307 12626614 25253228