Search a number
-
+
26493440 = 29579131
BaseRepresentation
bin110010100010…
…0001000000000
31211212000011112
41211010020000
523240242230
62343502452
7441122231
oct145041000
954760145
1026493440
1113a55a06
128a57a28
135647bbc
143739088
1524d4d95
hex1944200

26493440 has 80 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 10383360.

The previous prime is 26493433. The next prime is 26493449. The reversal of 26493440 is 4439462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26493397 and 26493406.

It is not an unprimeable number, because it can be changed into a prime (26493449) 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, 202175 + ... + 202305.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 226493440 is an apocalyptic number.

26493440 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 26493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

26493440 is an abundant number, since it is smaller than the sum of its proper divisors (38323840).

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

26493440 is an equidigital number, since it uses as much as digits as its factorization.

26493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 26493440 is about 5147.1778675309. The cubic root of 26493440 is about 298.1119948999. Note that the first 3 decimals are identical.

The spelling of 26493440 in words is "twenty-six million, four hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 131 158 160 256 262 316 320 395 512 524 632 640 655 790 1048 1264 1280 1310 1580 2096 2528 2560 2620 3160 4192 5056 5240 6320 8384 10112 10349 10480 12640 16768 20224 20698 20960 25280 33536 40448 41396 41920 50560 51745 67072 82792 83840 101120 103490 165584 167680 202240 206980 331168 335360 413960 662336 827920 1324672 1655840 2649344 3311680 5298688 6623360 13246720 26493440