Search a number
-
+
27164928 = 283731163
BaseRepresentation
bin110011110100…
…0000100000000
31220010010021110
41213220010000
523423234203
62410123320
7446620020
oct147500400
956103243
1027164928
111437445a
129120540
13582172b
143871a80
1525b8d03
hex19e8100

27164928 has 144 divisors (see below), whose sum is σ = 85815296. Its totient is φ = 7464960.

The previous prime is 27164903. The next prime is 27164933. The reversal of 27164928 is 82946172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166575 + ... + 166737.

Almost surely, 227164928 is an apocalyptic number.

27164928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907648).

27164928 is an abundant number, since it is smaller than the sum of its proper divisors (58650368).

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

27164928 is a wasteful number, since it uses less digits than its factorization.

27164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27164928 is about 5211.9984650804. The cubic root of 27164928 is about 300.6096048784.

The spelling of 27164928 in words is "twenty-seven million, one hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 163 168 186 192 217 224 248 256 326 336 372 384 434 448 489 496 651 652 672 744 768 868 896 978 992 1141 1302 1304 1344 1488 1736 1792 1956 1984 2282 2604 2608 2688 2976 3423 3472 3912 3968 4564 5053 5208 5216 5376 5952 6846 6944 7824 7936 9128 10106 10416 10432 11904 13692 13888 15159 15648 18256 20212 20832 20864 23808 27384 27776 30318 31296 35371 36512 40424 41664 41728 54768 55552 60636 62592 70742 73024 80848 83328 106113 109536 121272 125184 141484 146048 161696 166656 212226 219072 242544 282968 292096 323392 424452 438144 485088 565936 646784 848904 876288 970176 1131872 1293568 1697808 1940352 2263744 3395616 3880704 4527488 6791232 9054976 13582464 27164928