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27381948 = 22311283733
BaseRepresentation
bin110100001110…
…1000010111100
31220112010222020
41220131002330
524002210243
62414520140
7451512516
oct150350274
956463866
1027381948
1114502510
129206050
135899449
1438cabb6
15260d283
hex1a1d0bc

27381948 has 48 divisors (see below), whose sum is σ = 70041216. Its totient is φ = 8256960.

The previous prime is 27381943. The next prime is 27381967. The reversal of 27381948 is 84918372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27381943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36990 + ... + 37722.

It is an arithmetic number, because the mean of its divisors is an integer number (1459192).

Almost surely, 227381948 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 27381948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020608).

27381948 is an abundant number, since it is smaller than the sum of its proper divisors (42659268).

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

27381948 is a wasteful number, since it uses less digits than its factorization.

27381948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 27381948 is about 5232.7763185521. The cubic root of 27381948 is about 301.4080036365.

The spelling of 27381948 in words is "twenty-seven million, three hundred eighty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 733 849 1132 1466 1698 2199 2932 3113 3396 4398 6226 8063 8796 9339 12452 16126 18678 24189 32252 37356 48378 96756 207439 414878 622317 829756 1244634 2281829 2489268 4563658 6845487 9127316 13690974 27381948