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27006048 = 253523151
BaseRepresentation
bin110011100000…
…1010001100000
31212211001100000
41213001101200
523403143143
62402500000
7445355556
oct147012140
955731300
1027006048
1114276053
129064600
135797314
14382dbd6
152586bd3
hex19c1460

27006048 has 144 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 8553600.

The previous prime is 27006019. The next prime is 27006073. The reversal of 27006048 is 84060072.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 178773 + ... + 178923.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 227006048 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 27006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

27006048 is an abundant number, since it is smaller than the sum of its proper divisors (56649888).

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

27006048 is a wasteful number, since it uses less digits than its factorization.

27006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27006048 is about 5196.7343591914. The cubic root of 27006048 is about 300.0223983277.

The spelling of 27006048 in words is "twenty-seven million, six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 151 162 184 207 216 243 276 288 302 324 368 414 432 453 486 552 604 621 648 736 828 864 906 972 1104 1208 1242 1296 1359 1656 1812 1863 1944 2208 2416 2484 2592 2718 3312 3473 3624 3726 3888 4077 4832 4968 5436 5589 6624 6946 7248 7452 7776 8154 9936 10419 10872 11178 12231 13892 14496 14904 16308 19872 20838 21744 22356 24462 27784 29808 31257 32616 36693 41676 43488 44712 48924 55568 59616 62514 65232 73386 83352 89424 93771 97848 111136 125028 130464 146772 166704 178848 187542 195696 250056 281313 293544 333408 375084 391392 500112 562626 587088 750168 843939 1000224 1125252 1174176 1500336 1687878 2250504 3000672 3375756 4501008 6751512 9002016 13503024 27006048