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27393408 = 273274379
BaseRepresentation
bin110100001111…
…1110110000000
31220112201200200
41220133312000
524003042113
62415045200
7451561110
oct150376600
956481620
1027393408
1114510089
129210800
1358a1723
1438d1040
152611873
hex1a1fd80

27393408 has 192 divisors, whose sum is σ = 93350400. Its totient is φ = 7547904.

The previous prime is 27393407. The next prime is 27393427. The reversal of 27393408 is 80439372.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27393407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346713 + ... + 346791.

It is an arithmetic number, because the mean of its divisors is an integer number (486200).

Almost surely, 227393408 is an apocalyptic number.

27393408 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 27393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675200).

27393408 is an abundant number, since it is smaller than the sum of its proper divisors (65956992).

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

27393408 is a wasteful number, since it uses less digits than its factorization.

27393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27393408 is about 5233.8712250112. The cubic root of 27393408 is about 301.4500465907.

The spelling of 27393408 in words is "twenty-seven million, three hundred ninety-three thousand, four hundred eight".