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27097952 = 257196367
BaseRepresentation
bin110011101011…
…1101101100000
31212222201101212
41213113231200
523414113302
62404445252
7446220530
oct147275540
955881355
1027097952
1114329102
1290a9828
1357ca0bb
1438554c0
1525a4052
hex19d7b60

27097952 has 48 divisors (see below), whose sum is σ = 64189440. Its totient is φ = 11000448.

The previous prime is 27097951. The next prime is 27097957. The reversal of 27097952 is 25979072.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27097951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073 + ... + 7439.

It is an arithmetic number, because the mean of its divisors is an integer number (1337280).

Almost surely, 227097952 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 27097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32094720).

27097952 is an abundant number, since it is smaller than the sum of its proper divisors (37091488).

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

27097952 is a wasteful number, since it uses less digits than its factorization.

27097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 27097952 is about 5205.5693252516. The cubic root of 27097952 is about 300.3623473570.

The spelling of 27097952 in words is "twenty-seven million, ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 6367 12734 25468 44569 50936 89138 101872 120973 178276 203744 241946 356552 483892 713104 846811 967784 1426208 1693622 1935568 3387244 3871136 6774488 13548976 27097952