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27088992 = 253471493
BaseRepresentation
bin110011101010…
…1100001100000
31212222021010000
41213111201200
523413321432
62404340000
7446152440
oct147254140
955867100
1027088992
11143223a7
1290a4600
1357c5cb8
143852120
1525a157c
hex19d5860

27088992 has 120 divisors (see below), whose sum is σ = 91110096. Its totient is φ = 7734528.

The previous prime is 27088991. The next prime is 27088993. The reversal of 27088992 is 29988072.

It is an interprime number because it is at equal distance from previous prime (27088991) and next prime (27088993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27088991) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17398 + ... + 18890.

Almost surely, 227088992 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 27088992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45555048).

27088992 is an abundant number, since it is smaller than the sum of its proper divisors (64021104).

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

27088992 is a wasteful number, since it uses less digits than its factorization.

27088992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 27088992 is about 5204.7086373783. The cubic root of 27088992 is about 300.3292385411.

The spelling of 27088992 in words is "twenty-seven million, eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1493 1512 2016 2268 2592 2986 3024 4479 4536 5972 6048 8958 9072 10451 11944 13437 17916 18144 20902 23888 26874 31353 35832 40311 41804 47776 53748 62706 71664 80622 83608 94059 107496 120933 125412 143328 161244 167216 188118 214992 241866 250824 282177 322488 334432 376236 429984 483732 501648 564354 644976 752472 846531 967464 1003296 1128708 1289952 1504944 1693062 1934928 2257416 3009888 3386124 3869856 4514832 6772248 9029664 13544496 27088992