Search a number
-
+
27906592 = 257197983
BaseRepresentation
bin110101001110…
…1001000100000
31221111210122111
41222131020200
524121002332
62434045104
7456126220
oct152351040
957453574
1027906592
11148306aa
129419794
135a2119c
1439c6080
1526b3947
hex1a9d220

27906592 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 11052288.

The previous prime is 27906589. The next prime is 27906601. The reversal of 27906592 is 29560972.

It is a happy number.

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, 336183 + ... + 336265.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 227906592 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 27906592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

27906592 is an abundant number, since it is smaller than the sum of its proper divisors (39831008).

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

27906592 is a wasteful number, since it uses less digits than its factorization.

27906592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 27906592 is about 5282.6690223787. The cubic root of 27906592 is about 303.3208523089.

The spelling of 27906592 in words is "twenty-seven million, nine hundred six thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 79 83 112 133 152 158 166 224 266 304 316 332 532 553 581 608 632 664 1064 1106 1162 1264 1328 1501 1577 2128 2212 2324 2528 2656 3002 3154 4256 4424 4648 6004 6308 6557 8848 9296 10507 11039 12008 12616 13114 17696 18592 21014 22078 24016 25232 26228 42028 44156 45899 48032 50464 52456 84056 88312 91798 104912 124583 168112 176624 183596 209824 249166 336224 353248 367192 498332 734384 872081 996664 1468768 1744162 1993328 3488324 3986656 6976648 13953296 27906592