Search a number
-
+
26241024 = 21134271
BaseRepresentation
bin110010000011…
…0100000000000
31211101011220210
41210012200000
523204203044
62334234120
7436021305
oct144064000
954334823
1026241024
11138a32a7
128955940
13558a044
1436b10ac
1524851b9
hex1906800

26241024 has 48 divisors (see below), whose sum is σ = 69975360. Its totient is φ = 8744960.

The previous prime is 26241011. The next prime is 26241037. The reversal of 26241024 is 42014262.

It is an interprime number because it is at equal distance from previous prime (26241011) and next prime (26241037).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4009 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (1457820).

Almost surely, 226241024 is an apocalyptic number.

26241024 is a gapful number since it is divisible by the number (24) 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 26241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987680).

26241024 is an abundant number, since it is smaller than the sum of its proper divisors (43734336).

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

26241024 is an equidigital number, since it uses as much as digits as its factorization.

26241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 26241024 is about 5122.5993401788. The cubic root of 26241024 is about 297.1622190821.

Adding to 26241024 its reverse (42014262), we get a palindrome (68255286).

The spelling of 26241024 in words is "twenty-six million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4271 6144 8542 12813 17084 25626 34168 51252 68336 102504 136672 205008 273344 410016 546688 820032 1093376 1640064 2186752 3280128 4373504 6560256 8747008 13120512 26241024