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26952 = 2331123
BaseRepresentation
bin110100101001000
31100222020
412211020
51330302
6324440
7141402
oct64510
940866
1026952
1119282
1213720
13c363
149b72
157ebc
hex6948

26952 has 16 divisors (see below), whose sum is σ = 67440. Its totient is φ = 8976.

The previous prime is 26951. The next prime is 26953. The reversal of 26952 is 25962.

It is an interprime number because it is at equal distance from previous prime (26951) and next prime (26953).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1123 = 26952 / (2 + 6 + 9 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (26951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 538 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (4215).

226952 is an apocalyptic number.

It is an amenable number.

26952 is an abundant number, since it is smaller than the sum of its proper divisors (40488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33720).

26952 is a wasteful number, since it uses less digits than its factorization.

26952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 26952 is about 164.1706429298. The cubic root of 26952 is about 29.9822116768.

Subtracting from 26952 its reverse (25962), we obtain a triangular number (990 = T44).

The spelling of 26952 in words is "twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 1123 2246 3369 4492 6738 8984 13476 26952