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26381052 = 223683109
BaseRepresentation
bin110010010100…
…0101011111100
31211122022000000
41210220223330
523223143202
62341234300
7440143455
oct144505374
954568000
1026381052
1113989525
128a02990
1356089b9
14370a12c
1524b191c
hex1928afc

26381052 has 84 divisors (see below), whose sum is σ = 70695240. Its totient is φ = 8608032.

The previous prime is 26381041. The next prime is 26381071. The reversal of 26381052 is 25018362.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 241974 + ... + 242082.

It is an arithmetic number, because the mean of its divisors is an integer number (841610).

Almost surely, 226381052 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 26381052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35347620).

26381052 is an abundant number, since it is smaller than the sum of its proper divisors (44314188).

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

26381052 is a wasteful number, since it uses less digits than its factorization.

26381052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 26381052 is about 5136.2488257482. The cubic root of 26381052 is about 297.6898564511.

The spelling of 26381052 in words is "twenty-six million, three hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 109 162 166 218 243 249 324 327 332 436 486 498 654 729 747 972 981 996 1308 1458 1494 1962 2241 2916 2943 2988 3924 4482 5886 6723 8829 8964 9047 11772 13446 17658 18094 20169 26487 26892 27141 35316 36188 40338 52974 54282 60507 79461 80676 81423 105948 108564 121014 158922 162846 242028 244269 317844 325692 488538 732807 977076 1465614 2198421 2931228 4396842 6595263 8793684 13190526 26381052