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26482680 = 23335731113
BaseRepresentation
bin110010100000…
…1011111111000
31211211110102000
41211001133320
523234421210
62343341000
7441045660
oct145013770
954743360
1026482680
1113a48914
128a51760
135643033
1437351a0
1524d1ac0
hex19417f8

26482680 has 256 divisors, whose sum is σ = 105062400. Its totient is φ = 5806080.

The previous prime is 26482661. The next prime is 26482691. The reversal of 26482680 is 8628462.

26482680 is a `hidden beast` number, since 2 + 648 + 2 + 6 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 234304 + ... + 234416.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 226482680 is an apocalyptic number.

26482680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26482680 is the 3255-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26482680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

26482680 is an abundant number, since it is smaller than the sum of its proper divisors (78579720).

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

26482680 is a wasteful number, since it uses less digits than its factorization.

26482680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26482680 is about 5146.1325284139. The cubic root of 26482680 is about 298.0716312046.

It can be divided in two parts, 264 and 82680, that added together give a square (82944 = 2882).

The spelling of 26482680 in words is "twenty-six million, four hundred eighty-two thousand, six hundred eighty".