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26401248 = 253330557
BaseRepresentation
bin110010010110…
…1100111100000
31211200022201000
41210231213200
523224314443
62341512000
7440256366
oct144554740
954608630
1026401248
11139a2715
128a12600
135614c53
143713636
1524b78d3
hex192d9e0

26401248 has 48 divisors (see below), whose sum is σ = 77006160. Its totient is φ = 8800128.

The previous prime is 26401229. The next prime is 26401259. The reversal of 26401248 is 84210462.

26401248 is a `hidden beast` number, since 2 + 640 + 12 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14415 + ... + 16142.

It is an arithmetic number, because the mean of its divisors is an integer number (1604295).

Almost surely, 226401248 is an apocalyptic number.

It is an amenable number.

26401248 is an abundant number, since it is smaller than the sum of its proper divisors (50604912).

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

26401248 is a wasteful number, since it uses less digits than its factorization.

26401248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30576 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 26401248 is about 5138.2144758661. The cubic root of 26401248 is about 297.7658025101.

The spelling of 26401248 in words is "twenty-six million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 30557 61114 91671 122228 183342 244456 275013 366684 488912 550026 733368 825039 977824 1100052 1466736 1650078 2200104 2933472 3300156 4400208 6600312 8800416 13200624 26401248