Search a number
-
+
27950748 = 22371983211
BaseRepresentation
bin110101010011…
…1111010011100
31221121001012220
41222213322130
524123410443
62435025340
7456402030
oct152477234
957531186
1027950748
11148608a1
12943b250
135a38307
1439d81c0
1526c1a83
hex1aa7e9c

27950748 has 96 divisors (see below), whose sum is σ = 79779840. Its totient is φ = 7439040.

The previous prime is 27950701. The next prime is 27950777. The reversal of 27950748 is 84705972.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 132363 + ... + 132573.

It is an arithmetic number, because the mean of its divisors is an integer number (831040).

Almost surely, 227950748 is an apocalyptic number.

27950748 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 27950748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889920).

27950748 is an abundant number, since it is smaller than the sum of its proper divisors (51829092).

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

27950748 is a wasteful number, since it uses less digits than its factorization.

27950748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 27950748 is about 5286.8466972289. The cubic root of 27950748 is about 303.4807473581.

The spelling of 27950748 in words is "twenty-seven million, nine hundred fifty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 166 211 228 249 266 332 399 422 498 532 581 633 798 844 996 1162 1266 1477 1577 1596 1743 2324 2532 2954 3154 3486 4009 4431 4731 5908 6308 6972 8018 8862 9462 11039 12027 16036 17513 17724 18924 22078 24054 28063 33117 35026 44156 48108 52539 56126 66234 70052 84189 105078 112252 122591 132468 168378 210156 245182 332747 336756 367773 490364 665494 735546 998241 1330988 1471092 1996482 2329229 3992964 4658458 6987687 9316916 13975374 27950748