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27993792 = 263211691
BaseRepresentation
bin110101011001…
…0011011000000
31221200020021010
41222302123000
524131300132
62440000520
7456641361
oct152623300
957606233
1027993792
1114890172
129460140
135a51a98
143a09b68
1526ce6cc
hex1ab26c0

27993792 has 56 divisors (see below), whose sum is σ = 74525632. Its totient is φ = 9273600.

The previous prime is 27993773. The next prime is 27993839. The reversal of 27993792 is 29739972.

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

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, 40167 + ... + 40857.

Almost surely, 227993792 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 27993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37262816).

27993792 is an abundant number, since it is smaller than the sum of its proper divisors (46531840).

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

27993792 is a wasteful number, since it uses less digits than its factorization.

27993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its digits is 428652, while the sum is 48.

The square root of 27993792 is about 5290.9159887490. The cubic root of 27993792 is about 303.6364536903.

The spelling of 27993792 in words is "twenty-seven million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 691 844 1266 1382 1688 2073 2532 2764 3376 4146 5064 5528 6752 8292 10128 11056 13504 16584 20256 22112 33168 40512 44224 66336 132672 145801 291602 437403 583204 874806 1166408 1749612 2332816 3499224 4665632 6998448 9331264 13996896 27993792