Search a number
-
+
2958048 = 253210271
BaseRepresentation
bin1011010010001011100000
312120021200100
423102023200
51224124143
6143222400
734100022
oct13221340
95507610
102958048
111740475
12ba7a00
137c7532
14570012
153d66d3
hex2d22e0

2958048 has 36 divisors (see below), whose sum is σ = 8412768. Its totient is φ = 985920.

The previous prime is 2958041. The next prime is 2958049. The reversal of 2958048 is 8408592.

2958048 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4848 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (233688).

22958048 is an apocalyptic number.

It is an amenable number.

2958048 is an abundant number, since it is smaller than the sum of its proper divisors (5454720).

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

2958048 is a wasteful number, since it uses less digits than its factorization.

2958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2958048 is about 1719.8976713747. The cubic root of 2958048 is about 143.5495181322.

The spelling of 2958048 in words is "two million, nine hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10271 20542 30813 41084 61626 82168 92439 123252 164336 184878 246504 328672 369756 493008 739512 986016 1479024 2958048