Search a number
-
+
26489016 = 2332794657
BaseRepresentation
bin110010100001…
…1000010111000
31211211210002200
41211003002320
523240122031
62343430200
7441103311
oct145030270
954753080
1026489016
1113a52654
128a55360
135645b98
143737608
1524d38e6
hex19430b8

26489016 has 48 divisors (see below), whose sum is σ = 72664800. Its totient is φ = 8716032.

The previous prime is 26488997. The next prime is 26489017. The reversal of 26489016 is 61098462.

26489016 is a `hidden beast` number, since 2 + 648 + 9 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26489017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3360 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (1513850).

Almost surely, 226489016 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 26489016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36332400).

26489016 is an abundant number, since it is smaller than the sum of its proper divisors (46175784).

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

26489016 is a wasteful number, since it uses less digits than its factorization.

26489016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26489016 is about 5146.7480995285. The cubic root of 26489016 is about 298.0954005923.

It can be divided in two parts, 2648 and 9016, that added together give a square (11664 = 1082).

The spelling of 26489016 in words is "twenty-six million, four hundred eighty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 4657 5688 9314 13971 18628 27942 37256 41913 55884 83826 111768 167652 335304 367903 735806 1103709 1471612 2207418 2943224 3311127 4414836 6622254 8829672 13244508 26489016