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26145152 = 271131599
BaseRepresentation
bin110001110111…
…1000110000000
31211012022101222
41203233012000
523143121102
62332214212
7435141635
oct143570600
954168358
1026145152
1113838270
12890a368
135555507
14368818c
152466aa2
hex18ef180

26145152 has 64 divisors (see below), whose sum is σ = 58752000. Its totient is φ = 11481600.

The previous prime is 26145139. The next prime is 26145173. The reversal of 26145152 is 25154162.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43349 + ... + 43947.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 226145152 is an apocalyptic number.

26145152 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 26145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

26145152 is an abundant number, since it is smaller than the sum of its proper divisors (32606848).

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

26145152 is a wasteful number, since it uses less digits than its factorization.

26145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 26145152 is about 5113.2330281340. The cubic root of 26145152 is about 296.7998818181.

The spelling of 26145152 in words is "twenty-six million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 599 682 704 992 1198 1364 1408 1984 2396 2728 3968 4792 5456 6589 9584 10912 13178 18569 19168 21824 26356 37138 38336 43648 52712 74276 76672 105424 148552 204259 210848 297104 408518 421696 594208 817036 843392 1188416 1634072 2376832 3268144 6536288 13072576 26145152