Search a number
-
+
2990048 = 25414353
BaseRepresentation
bin1011011001111111100000
312121220120112
423121333200
51231140143
6144030452
734262225
oct13317740
95556515
102990048
111762516
121002428
13808c79
1457b94c
153e0e18
hex2d9fe0

2990048 has 48 divisors (see below), whose sum is σ = 6286896. Its totient is φ = 1397760.

The previous prime is 2990041. The next prime is 2990051. The reversal of 2990048 is 8400992.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2989996 and 2990023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56390 + ... + 56442.

It is an arithmetic number, because the mean of its divisors is an integer number (130977).

22990048 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 2990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143448).

2990048 is an abundant number, since it is smaller than the sum of its proper divisors (3296848).

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

2990048 is a wasteful number, since it uses less digits than its factorization.

2990048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2990048 is about 1729.1755260817. The cubic root of 2990048 is about 144.0652996023.

2990048 divided by its sum of digits (32) gives a palindrome (93439).

The spelling of 2990048 in words is "two million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 32 41 43 53 82 86 106 164 172 212 328 344 424 656 688 848 1312 1376 1696 1763 2173 2279 3526 4346 4558 7052 8692 9116 14104 17384 18232 28208 34768 36464 56416 69536 72928 93439 186878 373756 747512 1495024 2990048