[go: up one dir, main page]

Search a number
-
+
26228736 = 211321423
BaseRepresentation
bin110010000001…
…1100000000000
31211100120001200
41210003200000
523203304421
62334101200
7435640422
oct144034000
954316050
1026228736
1113895046
12894a800
135584581
1436aa812
152481726
hex1903800

26228736 has 72 divisors (see below), whose sum is σ = 75806640. Its totient is φ = 8736768.

The previous prime is 26228707. The next prime is 26228737. The reversal of 26228736 is 63782262.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26228736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26228737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17721 + ... + 19143.

It is an arithmetic number, because the mean of its divisors is an integer number (1052870).

Almost surely, 226228736 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 26228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37903320).

26228736 is an abundant number, since it is smaller than the sum of its proper divisors (49577904).

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

26228736 is a wasteful number, since it uses less digits than its factorization.

26228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1428 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26228736 is about 5121.3998086461. The cubic root of 26228736 is about 297.1158273525.

The spelling of 26228736 in words is "twenty-six million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1423 1536 2048 2304 2846 3072 4269 4608 5692 6144 8538 9216 11384 12807 17076 18432 22768 25614 34152 45536 51228 68304 91072 102456 136608 182144 204912 273216 364288 409824 546432 728576 819648 1092864 1457152 1639296 2185728 2914304 3278592 4371456 6557184 8742912 13114368 26228736