[go: up one dir, main page]

Search a number
-
+
26313792 = 263314421
BaseRepresentation
bin110010001100…
…0010001000000
31211111212201220
41210120101000
523214020132
62335555040
7436443411
oct144302100
954455656
1026313792
1113942a3a
12898ba80
1355b41bb
1436cd808
15249ba2c
hex1918440

26313792 has 56 divisors (see below), whose sum is σ = 71884032. Its totient is φ = 8486400.

The previous prime is 26313787. The next prime is 26313797. The reversal of 26313792 is 29731362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26313787) and next prime (26313797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26313797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3742 + ... + 8162.

Almost surely, 226313792 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 26313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942016).

26313792 is an abundant number, since it is smaller than the sum of its proper divisors (45570240).

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

26313792 is a wasteful number, since it uses less digits than its factorization.

26313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4457 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 26313792 is about 5129.6970670791. The cubic root of 26313792 is about 297.4366487049.

The spelling of 26313792 in words is "twenty-six million, three hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 4421 5952 8842 13263 17684 26526 35368 53052 70736 106104 137051 141472 212208 274102 282944 411153 424416 548204 822306 848832 1096408 1644612 2192816 3289224 4385632 6578448 8771264 13156896 26313792