Search a number
-
+
2543525248 = 271110716883
BaseRepresentation
bin1001011110011011…
…0001110110000000
320120021002110200211
42113212301312000
520202120301443
61100220323504
7120013415335
oct22746616600
96507073624
102543525248
111095832190
125ab9a3594
13316c5b734
141a1b4098c
15ed47719d
hex979b1d80

2543525248 has 64 divisors (see below), whose sum is σ = 5579824320. Its totient is φ = 1145274880.

The previous prime is 2543525233. The next prime is 2543525267. The reversal of 2543525248 is 8425253452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2543525248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142215 + ... + 159097.

It is an arithmetic number, because the mean of its divisors is an integer number (87184755).

Almost surely, 22543525248 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 2543525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789912160).

2543525248 is an abundant number, since it is smaller than the sum of its proper divisors (3036299072).

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

2543525248 is a wasteful number, since it uses less digits than its factorization.

2543525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015 (or 17003 counting only the distinct ones).

The product of its digits is 384000, while the sum is 40.

The square root of 2543525248 is about 50433.3743467557. The cubic root of 2543525248 is about 1365.0399158226.

The spelling of 2543525248 in words is "two billion, five hundred forty-three million, five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 352 428 704 856 1177 1408 1712 2354 3424 4708 6848 9416 13696 16883 18832 33766 37664 67532 75328 135064 150656 185713 270128 371426 540256 742852 1080512 1485704 1806481 2161024 2971408 3612962 5942816 7225924 11885632 14451848 19871291 23771264 28903696 39742582 57807392 79485164 115614784 158970328 231229568 317940656 635881312 1271762624 2543525248