Search a number
-
+
26450560 = 275371117
BaseRepresentation
bin110010011100…
…1101010000000
31211202211100101
41210321222000
523232404220
62342532144
7440553223
oct144715200
954684311
1026450560
1113a26774
128a37054
135631526
1437275ba
1524c730a
hex1939a80

26450560 has 64 divisors (see below), whose sum is σ = 65000520. Its totient is φ = 10285056.

The previous prime is 26450539. The next prime is 26450561. The reversal of 26450560 is 6505462.

It can be written as a sum of positive squares in 4 ways, for example, as 19855936 + 6594624 = 4456^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (26450561) 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, 23122 + ... + 24238.

Almost surely, 226450560 is an apocalyptic number.

26450560 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 26450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500260).

26450560 is an abundant number, since it is smaller than the sum of its proper divisors (38549960).

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

26450560 is a wasteful number, since it uses less digits than its factorization.

26450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 26450560 is about 5143.0107913556. The cubic root of 26450560 is about 297.9510752527.

The spelling of 26450560 in words is "twenty-six million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1117 1184 1480 2234 2368 2960 4468 4736 5585 5920 8936 11170 11840 17872 22340 23680 35744 41329 44680 71488 82658 89360 142976 165316 178720 206645 330632 357440 413290 661264 714880 826580 1322528 1653160 2645056 3306320 5290112 6612640 13225280 26450560