Search a number
-
+
3049872192 = 263242112577
BaseRepresentation
bin1011010111001001…
…0101101101000000
321212112212120010100
42311302111231000
522221231402232
61222345202400
7135402325443
oct26562255500
97775776110
103049872192
111325634134
12711490400
13397b26703
1420d0a965a
1512cb45c7c
hexb5c95b40

3049872192 has 84 divisors (see below), whose sum is σ = 8763369316. Its totient is φ = 1014128640.

The previous prime is 3049872181. The next prime is 3049872251. The reversal of 3049872192 is 2912789403.

3049872192 is a `hidden beast` number, since 3 + 0 + 498 + 72 + 1 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1196053056 + 1853819136 = 34584^2 + 43056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236208 + ... + 248784.

Almost surely, 23049872192 is an apocalyptic number.

3049872192 is a gapful number since it is divisible by the number (32) 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 3049872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381684658).

3049872192 is an abundant number, since it is smaller than the sum of its proper divisors (5713497124).

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

3049872192 is a wasteful number, since it uses less digits than its factorization.

3049872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3049872192 is about 55225.6479545510. The cubic root of 3049872192 is about 1450.1977046315.

The spelling of 3049872192 in words is "three billion, forty-nine million, eight hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 421 576 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 12577 13472 15156 20208 25154 26944 30312 37731 40416 50308 60624 75462 80832 100616 113193 121248 150924 201232 226386 242496 301848 402464 452772 603696 804928 905544 1207392 1811088 2414784 3622176 5294917 7244352 10589834 15884751 21179668 31769502 42359336 47654253 63539004 84718672 95308506 127078008 169437344 190617012 254156016 338874688 381234024 508312032 762468048 1016624064 1524936096 3049872192