Search a number
-
+
5046113296 = 2472432592
BaseRepresentation
bin1001011001100010…
…11001010000010000
3111000200011010010001
410230301121100100
540313301111141
62152415415344
7236022153400
oct45461312020
914020133101
105046113296
11215a443674
12b89b24554
13625585b73
1435c266800
151e8014a31
hex12cc59410

5046113296 has 135 divisors (see below), whose sum is σ = 11844400671. Its totient is φ = 2076524352.

The previous prime is 5046113291. The next prime is 5046113297. The reversal of 5046113296 is 6923116405.

The square root of 5046113296 is 71036.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5046113291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85527315 + ... + 85527373.

Almost surely, 25046113296 is an apocalyptic number.

5046113296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5046113296 is the 71036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5046113296

5046113296 is an abundant number, since it is smaller than the sum of its proper divisors (6798287375).

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

5046113296 is an equidigital number, since it uses as much as digits as its factorization.

5046113296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 5046113296 is about 1715.2167100855.

The spelling of 5046113296 in words is "five billion, forty-six million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 59 86 98 112 118 172 196 236 301 344 392 413 472 602 688 784 826 944 1204 1652 1849 2107 2408 2537 2891 3304 3481 3698 4214 4816 5074 5782 6608 6962 7396 8428 10148 11564 12943 13924 14792 16856 17759 20296 23128 24367 25886 27848 29584 33712 35518 40592 46256 48734 51772 55696 71036 90601 97468 103544 109091 124313 142072 149683 170569 181202 194936 207088 218182 248626 284144 299366 341138 362404 389872 436364 497252 598732 682276 724808 763637 872728 994504 1047781 1197464 1364552 1449616 1527274 1745456 1989008 2095562 2394928 2729104 3054548 4191124 5345459 6109096 6436369 7334467 8382248 10690918 12218192 12872738 14668934 16764496 21381836 25745476 29337868 42763672 45054583 51490952 58675736 85527344 90109166 102981904 117351472 180218332 315382081 360436664 630764162 720873328 1261528324 2523056648 5046113296