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26539968 = 263731331
BaseRepresentation
bin110010100111…
…1011111000000
31211221100222210
41211033133000
523243234333
62344502120
7441405000
oct145173700
954840883
1026539968
1113a87964
128a7a940
135663130
14374c000
1524e3a63
hex194f7c0

26539968 has 224 divisors, whose sum is σ = 91033600. Its totient is φ = 6773760.

The previous prime is 26539963. The next prime is 26539969. The reversal of 26539968 is 86993562.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (699840) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26539963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856113 + ... + 856143.

It is an arithmetic number, because the mean of its divisors is an integer number (406400).

Almost surely, 226539968 is an apocalyptic number.

26539968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516800).

26539968 is an abundant number, since it is smaller than the sum of its proper divisors (64493632).

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

26539968 is a wasteful number, since it uses less digits than its factorization.

26539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 26539968 is about 5151.6956431839. The cubic root of 26539968 is about 298.2864084271.

It can be divided in two parts, 2653 and 9968, that added together give a palindrome (12621).

The spelling of 26539968 in words is "twenty-six million, five hundred thirty-nine thousand, nine hundred sixty-eight".