Search a number
-
+
27884248 = 2371973359
BaseRepresentation
bin110101001011…
…1101011011000
31221110122222221
41222113223120
524114243443
62433353424
7456004120
oct152275330
957418887
1027884248
1114815937
129408874
135a13c72
1439bbc80
1526abeed
hex1a97ad8

27884248 has 64 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 11135232.

The previous prime is 27884239. The next prime is 27884249. The reversal of 27884248 is 84248872.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27884249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77493 + ... + 77851.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 227884248 is an apocalyptic number.

27884248 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 27884248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

27884248 is an abundant number, since it is smaller than the sum of its proper divisors (36051752).

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

27884248 is a wasteful number, since it uses less digits than its factorization.

27884248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its digits is 229376, while the sum is 43.

The square root of 27884248 is about 5280.5537588401. The cubic root of 27884248 is about 303.2398772863.

The spelling of 27884248 in words is "twenty-seven million, eight hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 133 146 152 266 292 359 511 532 584 718 1022 1064 1387 1436 2044 2513 2774 2872 4088 5026 5548 6821 9709 10052 11096 13642 19418 20104 26207 27284 38836 47747 52414 54568 77672 95494 104828 183449 190988 209656 366898 381976 497933 733796 995866 1467592 1991732 3485531 3983464 6971062 13942124 27884248