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27931296 = 2531312221
BaseRepresentation
bin110101010001…
…1001010100000
31221120001112110
41222203022200
524122300141
62434355320
7456261231
oct152431240
957501473
1027931296
1114848218
12942bb40
135a2c4c3
1439d1088
1526bae16
hex1aa32a0

27931296 has 48 divisors (see below), whose sum is σ = 73912608. Its totient is φ = 9235200.

The previous prime is 27931283. The next prime is 27931307. The reversal of 27931296 is 69213972.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11466 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (1539846).

Almost surely, 227931296 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 27931296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36956304).

27931296 is an abundant number, since it is smaller than the sum of its proper divisors (45981312).

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

27931296 is a wasteful number, since it uses less digits than its factorization.

27931296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 27931296 is about 5285.0067171197. The cubic root of 27931296 is about 303.4103297140.

The spelling of 27931296 in words is "twenty-seven million, nine hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 2221 3144 4192 4442 6288 6663 8884 12576 13326 17768 26652 35536 53304 71072 106608 213216 290951 581902 872853 1163804 1745706 2327608 3491412 4655216 6982824 9310432 13965648 27931296