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26214272 = 277171721
BaseRepresentation
bin110001111111…
…1111110000000
31211022211012222
41203333332000
523202324042
62333510212
7435550310
oct143777600
954284188
1026214272
1113885197
128942368
13557ab06
1436a5440
15247c2d2
hex18fff80

26214272 has 64 divisors (see below), whose sum is σ = 63231840. Its totient is φ = 10567680.

The previous prime is 26214271. The next prime is 26214283. The reversal of 26214272 is 27241262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26214271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14372 + ... + 16092.

Almost surely, 226214272 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 26214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31615920).

26214272 is an abundant number, since it is smaller than the sum of its proper divisors (37017568).

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

26214272 is a wasteful number, since it uses less digits than its factorization.

26214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 26214272 is about 5119.9874999847. The cubic root of 26214272 is about 297.0612018516.

The spelling of 26214272 in words is "twenty-six million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1721 1904 2176 3442 3808 6884 7616 12047 13768 15232 24094 27536 29257 48188 55072 58514 96376 110144 117028 192752 204799 220288 234056 385504 409598 468112 771008 819196 936224 1542016 1638392 1872448 3276784 3744896 6553568 13107136 26214272