Search a number
-
+
26288240 = 2451129873
BaseRepresentation
bin110010001001…
…0000001110000
31211110120200112
41210102001300
523212210430
62335240452
7436306046
oct144220160
954416615
1026288240
1113925820
128979128
1355a5694
1436c4396
152494195
hex1912070

26288240 has 40 divisors (see below), whose sum is σ = 66678768. Its totient is φ = 9559040.

The previous prime is 26288233. The next prime is 26288243. The reversal of 26288240 is 4288262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26288197 and 26288206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26288243) 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, 14057 + ... + 15816.

Almost surely, 226288240 is an apocalyptic number.

26288240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26288240 is an abundant number, since it is smaller than the sum of its proper divisors (40390528).

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

26288240 is a wasteful number, since it uses less digits than its factorization.

26288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29897 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 26288240 is about 5127.2058667465. The cubic root of 26288240 is about 297.3403422685.

The spelling of 26288240 in words is "twenty-six million, two hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 29873 59746 119492 149365 238984 298730 328603 477968 597460 657206 1194920 1314412 1643015 2389840 2628824 3286030 5257648 6572060 13144120 26288240