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26748225 = 355271737
BaseRepresentation
bin110011000001…
…0010101000001
31212022221200000
41212002111001
523321420400
62353150213
7443233110
oct146022501
955287600
1026748225
111410a379
128b5b369
135706b6a
1437a3c77
152535600
hex1982541

26748225 has 144 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 11197440.

The previous prime is 26748221. The next prime is 26748251. The reversal of 26748225 is 52284762.

It is not a de Polignac number, because 26748225 - 22 = 26748221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26748225.

It is not an unprimeable number, because it can be changed into a prime (26748221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722907 + ... + 722943.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 226748225 is an apocalyptic number.

26748225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26748225 is an abundant number, since it is smaller than the sum of its proper divisors (34997823).

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

26748225 is a wasteful number, since it uses less digits than its factorization.

26748225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 26748225 is about 5171.8686178208. The cubic root of 26748225 is about 299.0645863692.

The spelling of 26748225 in words is "twenty-six million, seven hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 37 45 51 63 75 81 85 105 111 119 135 153 175 185 189 225 243 255 259 315 333 357 405 425 459 525 555 567 595 629 675 765 777 925 945 999 1071 1215 1275 1295 1377 1575 1665 1701 1785 1887 2025 2295 2331 2775 2835 2975 2997 3145 3213 3825 3885 4131 4403 4725 4995 5355 5661 6075 6475 6885 6993 8325 8505 8925 8991 9435 9639 11475 11655 13209 14175 14985 15725 16065 16983 19425 20655 20979 22015 24975 26775 28305 28917 34425 34965 39627 42525 44955 47175 48195 50949 58275 62937 66045 74925 80325 84915 103275 104895 110075 118881 141525 144585 152847 174825 198135 224775 240975 254745 314685 330225 356643 424575 524475 594405 722925 764235 990675 1069929 1273725 1573425 1783215 2972025 3821175 5349645 8916075 26748225