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26948928 = 263971447
BaseRepresentation
bin110011011001…
…1010101000000
31212201010222110
41212303111000
523344331203
62401335320
7445030206
oct146632500
955633873
1026948928
1114237146
129037540
135777316
143817076
152574d03
hex19b3540

26948928 has 56 divisors (see below), whose sum is σ = 72087232. Its totient is φ = 8884224.

The previous prime is 26948891. The next prime is 26948947. The reversal of 26948928 is 82984962.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17901 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (1287272).

Almost surely, 226948928 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 26948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36043616).

26948928 is an abundant number, since it is smaller than the sum of its proper divisors (45138304).

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

26948928 is a wasteful number, since it uses less digits than its factorization.

26948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 26948928 is about 5191.2356910470. The cubic root of 26948928 is about 299.8107250529.

The spelling of 26948928 in words is "twenty-six million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1447 1552 2328 2894 3104 4341 4656 5788 6208 8682 9312 11576 17364 18624 23152 34728 46304 69456 92608 138912 140359 277824 280718 421077 561436 842154 1122872 1684308 2245744 3368616 4491488 6737232 8982976 13474464 26948928