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26281152 = 263367227
BaseRepresentation
bin110010001000…
…0010011000000
31211110012222000
41210100103000
523211444102
62335144000
7436246302
oct144202300
954405860
1026281152
1113920467
128975000
1355a23a1
1436c1972
15249201c
hex19104c0

26281152 has 112 divisors (see below), whose sum is σ = 78760320. Its totient is φ = 8591616.

The previous prime is 26281141. The next prime is 26281159. The reversal of 26281152 is 25118262.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26281159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115663 + ... + 115889.

Almost surely, 226281152 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 26281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39380160).

26281152 is an abundant number, since it is smaller than the sum of its proper divisors (52479168).

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

26281152 is a wasteful number, since it uses less digits than its factorization.

26281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 26281152 is about 5126.5146054605. The cubic root of 26281152 is about 297.3136162776.

The spelling of 26281152 in words is "twenty-six million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 227 268 288 402 432 454 536 576 603 681 804 864 908 1072 1206 1362 1608 1728 1809 1816 2043 2144 2412 2724 3216 3618 3632 4086 4288 4824 5448 6129 6432 7236 7264 8172 9648 10896 12258 12864 14472 14528 15209 16344 19296 21792 24516 28944 30418 32688 38592 43584 45627 49032 57888 60836 65376 91254 98064 115776 121672 130752 136881 182508 196128 243344 273762 365016 392256 410643 486688 547524 730032 821286 973376 1095048 1460064 1642572 2190096 2920128 3285144 4380192 6570288 8760384 13140576 26281152