Search a number
-
+
26386440 = 23351971163
BaseRepresentation
bin110010010101…
…0000000001000
31211122120101120
41210222000020
523223331230
62341315240
7440165253
oct144520010
954576346
1026386440
1113992583
128a05b20
13560b2a2
14370c09a
1524b3310
hex192a008

26386440 has 128 divisors (see below), whose sum is σ = 85017600. Its totient is φ = 6531840.

The previous prime is 26386429. The next prime is 26386463. The reversal of 26386440 is 4468362.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 161799 + ... + 161961.

It is an arithmetic number, because the mean of its divisors is an integer number (664200).

Almost surely, 226386440 is an apocalyptic number.

26386440 is a gapful number since it is divisible by the number (20) 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 26386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42508800).

26386440 is an abundant number, since it is smaller than the sum of its proper divisors (58631160).

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

26386440 is a wasteful number, since it uses less digits than its factorization.

26386440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 26386440 is about 5136.7733062692. The cubic root of 26386440 is about 297.7101215485.

The spelling of 26386440 in words is "twenty-six million, three hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 71 76 95 114 120 142 152 163 190 213 228 284 285 326 355 380 426 456 489 568 570 652 710 760 815 852 978 1065 1140 1304 1349 1420 1630 1704 1956 2130 2280 2445 2698 2840 3097 3260 3912 4047 4260 4890 5396 6194 6520 6745 8094 8520 9291 9780 10792 11573 12388 13490 15485 16188 18582 19560 20235 23146 24776 26980 30970 32376 34719 37164 40470 46292 46455 53960 57865 61940 69438 74328 80940 92584 92910 115730 123880 138876 161880 173595 185820 219887 231460 277752 347190 371640 439774 462920 659661 694380 879548 1099435 1319322 1388760 1759096 2198870 2638644 3298305 4397740 5277288 6596610 8795480 13193220 26386440