Search a number
-
+
2641248 = 25341019
BaseRepresentation
bin1010000100110101100000
311222012010000
422010311200
51134004443
6132340000
731310301
oct12046540
94865100
102641248
111544455
12a74600
1371628c
144ca7a8
153728d3
hex284d60

2641248 has 60 divisors (see below), whose sum is σ = 7775460. Its totient is φ = 879552.

The previous prime is 2641237. The next prime is 2641277. The reversal of 2641248 is 8421462.

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

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

Its product of digits (3072) is a multiple of the sum of its prime divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2083 + ... + 3101.

It is an arithmetic number, because the mean of its divisors is an integer number (129591).

22641248 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 2641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887730).

2641248 is an abundant number, since it is smaller than the sum of its proper divisors (5134212).

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

2641248 is a wasteful number, since it uses less digits than its factorization.

2641248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1024 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2641248 is about 1625.1916810026. The cubic root of 2641248 is about 138.2302394729.

The spelling of 2641248 in words is "two million, six hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1019 1296 2038 2592 3057 4076 6114 8152 9171 12228 16304 18342 24456 27513 32608 36684 48912 55026 73368 82539 97824 110052 146736 165078 220104 293472 330156 440208 660312 880416 1320624 2641248