Search a number
-
+
26241408 = 27342531
BaseRepresentation
bin110010000011…
…0100110000000
31211101012110000
41210012212000
523204211113
62334240000
7436022364
oct144064600
954335400
1026241408
11138a3616
128956000
13558a27b
1436b12a4
152485373
hex1906980

26241408 has 80 divisors (see below), whose sum is σ = 78124860. Its totient is φ = 8743680.

The previous prime is 26241379. The next prime is 26241409. The reversal of 26241408 is 80414262.

It is a super-2 number, since 2×262414082 = 1377222987644928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26241409) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9103 + ... + 11633.

Almost surely, 226241408 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 26241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39062430).

26241408 is an abundant number, since it is smaller than the sum of its proper divisors (51883452).

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

26241408 is an equidigital number, since it uses as much as digits as its factorization.

26241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 26241408 is about 5122.6368210132. The cubic root of 26241408 is about 297.1636685903.

The spelling of 26241408 in words is "twenty-six million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2531 2592 3456 5062 5184 7593 10124 10368 15186 20248 22779 30372 40496 45558 60744 68337 80992 91116 121488 136674 161984 182232 205011 242976 273348 323968 364464 410022 485952 546696 728928 820044 971904 1093392 1457856 1640088 2186784 2915712 3280176 4373568 6560352 8747136 13120704 26241408