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26230784 = 2141601
BaseRepresentation
bin110010000010…
…0000000000000
31211100122212112
41210010000000
523203341114
62334114452
7435646406
oct144040000
954318775
1026230784
1113896638
12894ba28
135585498
1436ab476
15248213e
hex1904000

26230784 has 30 divisors (see below), whose sum is σ = 52492734. Its totient is φ = 13107200.

The previous prime is 26230783. The next prime is 26230843. The reversal of 26230784 is 48703262.

It can be written as a sum of positive squares in only one way, i.e., 26214400 + 16384 = 5120^2 + 128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 26230784.

It is not an unprimeable number, because it can be changed into a prime (26230781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15584 + ... + 17184.

Almost surely, 226230784 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 26230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26246367).

26230784 is an abundant number, since it is smaller than the sum of its proper divisors (26261950).

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

26230784 is an frugal number, since it uses more digits than its factorization.

26230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 26230784 is about 5121.5997500781. The cubic root of 26230784 is about 297.1235603135.

The spelling of 26230784 in words is "twenty-six million, two hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1601 2048 3202 4096 6404 8192 12808 16384 25616 51232 102464 204928 409856 819712 1639424 3278848 6557696 13115392 26230784