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27971244 = 223574111
BaseRepresentation
bin110101010110…
…0111010101100
31221122002100000
41222230322230
524130034434
62435304300
7456515550
oct152547254
957562300
1027971244
1114875234
12944b090
135a44742
143a01860
1526c7b99
hex1aaceac

27971244 has 72 divisors (see below), whose sum is σ = 83819008. Its totient is φ = 7989840.

The previous prime is 27971213. The next prime is 27971263. The reversal of 27971244 is 44217972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27971199 and 27971208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4749 + ... + 8859.

Almost surely, 227971244 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 27971244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41909504).

27971244 is an abundant number, since it is smaller than the sum of its proper divisors (55847764).

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

27971244 is a wasteful number, since it uses less digits than its factorization.

27971244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4123 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27971244 is about 5288.7847375366. The cubic root of 27971244 is about 303.5549090184.

The spelling of 27971244 in words is "twenty-seven million, nine hundred seventy-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 4111 6804 8222 12333 16444 24666 28777 36999 49332 57554 73998 86331 110997 115108 147996 172662 221994 258993 332991 345324 443988 517986 665982 776979 998973 1035972 1331964 1553958 1997946 2330937 3107916 3995892 4661874 6992811 9323748 13985622 27971244