Search a number
-
+
27960552 = 233519757
BaseRepresentation
bin110101010101…
…0010011101000
31221121112200000
41222222103220
524124214202
62435143000
7456442434
oct152522350
957545600
1027960552
11148681a4
129444a60
135a3c909
1439db9c4
1526c491c
hex1aaa4e8

27960552 has 96 divisors (see below), whose sum is σ = 82773600. Its totient is φ = 8817984.

The previous prime is 27960551. The next prime is 27960557. The reversal of 27960552 is 25506972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27960551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36558 + ... + 37314.

It is an arithmetic number, because the mean of its divisors is an integer number (862225).

Almost surely, 227960552 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 27960552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41386800).

27960552 is an abundant number, since it is smaller than the sum of its proper divisors (54813048).

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

27960552 is a wasteful number, since it uses less digits than its factorization.

27960552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 27960552 is about 5287.7738226970. The cubic root of 27960552 is about 303.5162261634.

The spelling of 27960552 in words is "twenty-seven million, nine hundred sixty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 757 972 1026 1368 1514 1539 1944 2052 2271 3028 3078 4104 4542 4617 6056 6156 6813 9084 9234 12312 13626 14383 18168 18468 20439 27252 28766 36936 40878 43149 54504 57532 61317 81756 86298 115064 122634 129447 163512 172596 183951 245268 258894 345192 367902 388341 490536 517788 735804 776682 1035576 1165023 1471608 1553364 2330046 3106728 3495069 4660092 6990138 9320184 13980276 27960552