Search a number
-
+
27195648 = 283172083
BaseRepresentation
bin110011110111…
…1100100000000
31220011200102020
41213233210000
523430230043
62410521440
7450105414
oct147574400
956150366
1027195648
1114395547
129136280
1358326cc
14387cd44
1525c2e83
hex19ef900

27195648 has 72 divisors (see below), whose sum is σ = 76674528. Its totient is φ = 8527872.

The previous prime is 27195647. The next prime is 27195667. The reversal of 27195648 is 84659172.

It is not an unprimeable number, because it can be changed into a prime (27195647) 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, 12015 + ... + 14097.

It is an arithmetic number, because the mean of its divisors is an integer number (1064924).

Almost surely, 227195648 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 27195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337264).

27195648 is an abundant number, since it is smaller than the sum of its proper divisors (49478880).

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

27195648 is a wasteful number, since it uses less digits than its factorization.

27195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2105 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 27195648 is about 5214.9446785177. The cubic root of 27195648 is about 300.7228789765.

The spelling of 27195648 in words is "twenty-seven million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2083 2176 3264 4166 4352 6249 6528 8332 12498 13056 16664 24996 33328 35411 49992 66656 70822 99984 106233 133312 141644 199968 212466 266624 283288 399936 424932 533248 566576 799872 849864 1133152 1599744 1699728 2266304 3399456 4532608 6798912 9065216 13597824 27195648