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26461072 = 24111941193
BaseRepresentation
bin110010011110…
…0001110010000
31211210100202201
41210330032100
523233223242
62343052544
7440625661
oct144741620
954710681
1026461072
1113a33660
128a41154
135636251
14372b368
1524ca4b7
hex193c390

26461072 has 80 divisors (see below), whose sum is σ = 60621120. Its totient is φ = 11059200.

The previous prime is 26461051. The next prime is 26461081. The reversal of 26461072 is 27016462.

It is a self number, because there is not a number n which added to its sum of digits gives 26461072.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 137008 + ... + 137200.

It is an arithmetic number, because the mean of its divisors is an integer number (757764).

Almost surely, 226461072 is an apocalyptic number.

26461072 is a gapful number since it is divisible by the number (22) 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 26461072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310560).

26461072 is an abundant number, since it is smaller than the sum of its proper divisors (34160048).

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

26461072 is a wasteful number, since it uses less digits than its factorization.

26461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 26461072 is about 5144.0326593053. The cubic root of 26461072 is about 297.9905406664.

The spelling of 26461072 in words is "twenty-six million, four hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 41 44 76 82 88 152 164 176 193 209 304 328 386 418 451 656 772 779 836 902 1544 1558 1672 1804 2123 3088 3116 3344 3608 3667 4246 6232 7216 7334 7913 8492 8569 12464 14668 15826 16984 17138 29336 31652 33968 34276 40337 58672 63304 68552 80674 87043 126608 137104 150347 161348 174086 300694 322696 348172 601388 645392 696344 1202776 1392688 1653817 2405552 3307634 6615268 13230536 26461072