Search a number
-
+
26385972 = 22317211613
BaseRepresentation
bin110010010100…
…1111000110100
31211122112202020
41210221320310
523223322342
62341313140
7440164014
oct144517064
954575666
1026385972
1113992198
128a057b0
13560b002
14370bc44
1524b30ec
hex1929e34

26385972 has 48 divisors (see below), whose sum is σ = 65604672. Its totient is φ = 8225280.

The previous prime is 26385971. The next prime is 26385973. The reversal of 26385972 is 27958362.

It is an interprime number because it is at equal distance from previous prime (26385971) and next prime (26385973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26385971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42738 + ... + 43350.

It is an arithmetic number, because the mean of its divisors is an integer number (1366764).

Almost surely, 226385972 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 26385972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32802336).

26385972 is an abundant number, since it is smaller than the sum of its proper divisors (39218700).

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

26385972 is a wasteful number, since it uses less digits than its factorization.

26385972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 26385972 is about 5136.7277521784. The cubic root of 26385972 is about 297.7083614378.

The spelling of 26385972 in words is "twenty-six million, three hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 211 422 613 633 844 1226 1266 1839 2452 2532 3587 3678 7174 7356 10421 10761 14348 20842 21522 31263 41684 43044 62526 125052 129343 258686 388029 517372 776058 1552116 2198831 4397662 6596493 8795324 13192986 26385972