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27042288 = 24371341151
BaseRepresentation
bin110011100101…
…0000111110000
31212212220001020
41213022013300
523410323123
62403335440
7445566330
oct147120760
955786036
1027042288
11142a02a9
129081580
1357aa970
14383d0c0
1525927e3
hex19ca1f0

27042288 has 160 divisors (see below), whose sum is σ = 88660992. Its totient is φ = 6912000.

The previous prime is 27042269. The next prime is 27042299. The reversal of 27042288 is 88224072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179013 + ... + 179163.

Almost surely, 227042288 is an apocalyptic number.

27042288 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 27042288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330496).

27042288 is an abundant number, since it is smaller than the sum of its proper divisors (61618704).

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

27042288 is a wasteful number, since it uses less digits than its factorization.

27042288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 27042288 is about 5200.2199953464. The cubic root of 27042288 is about 300.1565405249.

The spelling of 27042288 in words is "twenty-seven million, forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 151 156 164 168 182 208 246 273 287 302 312 328 336 364 453 492 533 546 574 604 624 656 728 861 906 984 1057 1066 1092 1148 1208 1456 1599 1722 1812 1963 1968 2114 2132 2184 2296 2416 3171 3198 3444 3624 3731 3926 4228 4264 4368 4592 5889 6191 6342 6396 6888 7248 7462 7852 8456 8528 11193 11778 12382 12684 12792 13741 13776 14924 15704 16912 18573 22386 23556 24764 25368 25584 27482 29848 31408 37146 41223 43337 44772 47112 49528 50736 54964 59696 74292 80483 82446 86674 89544 94224 99056 109928 130011 148584 160966 164892 173348 179088 219856 241449 260022 297168 321932 329784 346696 482898 520044 563381 643864 659568 693392 965796 1040088 1126762 1287728 1690143 1931592 2080176 2253524 3380286 3863184 4507048 6760572 9014096 13521144 27042288