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26328148 = 22711219409
BaseRepresentation
bin110010001101…
…1110001010100
31211112121102121
41210123301110
523220000043
62340145324
7436533310
oct144336124
954477377
1026328148
1113952800
128998244
1355ba8b2
1436d4b40
1524a0ded
hex191bc54

26328148 has 72 divisors (see below), whose sum is σ = 61073600. Its totient is φ = 9694080.

The previous prime is 26328103. The next prime is 26328157. The reversal of 26328148 is 84182362.

It is a super-3 number, since 3×263281483 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64168 + ... + 64576.

Almost surely, 226328148 is an apocalyptic number.

26328148 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 26328148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536800).

26328148 is an abundant number, since it is smaller than the sum of its proper divisors (34745452).

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

26328148 is a wasteful number, since it uses less digits than its factorization.

26328148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 26328148 is about 5131.0961791804. The cubic root of 26328148 is about 297.4907296502.

The spelling of 26328148 in words is "twenty-six million, three hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 409 418 484 532 818 836 847 1463 1636 1694 2299 2863 2926 3388 4499 4598 5726 5852 7771 8998 9196 11452 15542 16093 17996 31084 31493 32186 49489 54397 62986 64372 85481 98978 108794 125972 170962 197956 217588 341924 346423 598367 692846 940291 1196734 1385692 1880582 2393468 3761164 6582037 13164074 26328148