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26661984 = 253172312
BaseRepresentation
bin110010110110…
…1010001100000
31212011120100220
41211231101200
523311140414
62351243040
7442423506
oct145552140
955146326
1026661984
11140605a8
128b19480
1356a682b
143780676
152519ca9
hex196d460

26661984 has 108 divisors (see below), whose sum is σ = 76822452. Its totient is φ = 8094720.

The previous prime is 26661979. The next prime is 26661989. The reversal of 26661984 is 48916662.

It is an interprime number because it is at equal distance from previous prime (26661979) and next prime (26661989).

It is a super-2 number, since 2×266619842 = 1421722781632512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26661989) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 860049 + ... + 860079.

It is an arithmetic number, because the mean of its divisors is an integer number (711319).

Almost surely, 226661984 is an apocalyptic number.

26661984 is a gapful number since it is divisible by the number (24) 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 26661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38411226).

26661984 is an abundant number, since it is smaller than the sum of its proper divisors (50160468).

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

26661984 is a wasteful number, since it uses less digits than its factorization.

26661984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 26661984 is about 5163.5243777869. The cubic root of 26661984 is about 298.7428279763.

Multiplying 26661984 by its product of digits (124416), we get a square (3317177401344 = 18213122).

The spelling of 26661984 in words is "twenty-six million, six hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 289 372 408 496 527 544 578 744 816 867 961 992 1054 1156 1488 1581 1632 1734 1922 2108 2312 2883 2976 3162 3468 3844 4216 4624 5766 6324 6936 7688 8432 8959 9248 11532 12648 13872 15376 16337 16864 17918 23064 25296 26877 27744 30752 32674 35836 46128 49011 50592 53754 65348 71672 92256 98022 107508 130696 143344 196044 215016 261392 277729 286688 392088 430032 522784 555458 784176 833187 860064 1110916 1568352 1666374 2221832 3332748 4443664 6665496 8887328 13330992 26661984