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26480832 = 2637171961
BaseRepresentation
bin110010100000…
…1000011000000
31211211100212120
41211001003000
523234341312
62343324240
7441040410
oct145010300
954740776
1026480832
1113a47494
128a50680
135642241
143734640
1524d128c
hex19410c0

26480832 has 224 divisors, whose sum is σ = 90708480. Its totient is φ = 6635520.

The previous prime is 26480821. The next prime is 26480891. The reversal of 26480832 is 23808462.

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

It is a junction number, because it is equal to n+sod(n) for n = 26480793 and 26480802.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 434082 + ... + 434142.

Almost surely, 226480832 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 26480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

26480832 is an abundant number, since it is smaller than the sum of its proper divisors (64227648).

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

26480832 is a wasteful number, since it uses less digits than its factorization.

26480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 26480832 is about 5145.9529729682. The cubic root of 26480832 is about 298.0646977524.

The spelling of 26480832 in words is "twenty-six million, four hundred eighty thousand, eight hundred thirty-two".