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27983072 = 2513137491
BaseRepresentation
bin110101010111…
…1110011100000
31221122200120002
41222233303200
524130424242
62435435132
7456565205
oct152576340
957580502
1027983072
1114883107
129455aa8
135a49c40
143a05cac
1526cb432
hex1aafce0

27983072 has 48 divisors (see below), whose sum is σ = 59884272. Its totient is φ = 12794880.

The previous prime is 27983069. The next prime is 27983083. The reversal of 27983072 is 27038972.

It is a congruent number.

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, 56747 + ... + 57237.

It is an arithmetic number, because the mean of its divisors is an integer number (1247589).

Almost surely, 227983072 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 27983072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29942136).

27983072 is an abundant number, since it is smaller than the sum of its proper divisors (31901200).

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

27983072 is a wasteful number, since it uses less digits than its factorization.

27983072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 27983072 is about 5289.9028346464. The cubic root of 27983072 is about 303.5976903535.

The spelling of 27983072 in words is "twenty-seven million, nine hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 491 548 982 1096 1781 1964 2192 3562 3928 4384 6383 7124 7856 12766 14248 15712 25532 28496 51064 56992 67267 102128 134534 204256 269068 538136 874471 1076272 1748942 2152544 3497884 6995768 13991536 27983072