Search a number
-
+
5246464160 = 255710194597
BaseRepresentation
bin1001110001011011…
…01011000010100000
3111112122010222211102
410320231223002200
541221043323120
62224333533532
7244004131610
oct47055530240
914478128742
105246464160
1122525461a3
1210250442a8
13657c33a82
1437aadaa40
1520a8dcd75
hex138b6b0a0

5246464160 has 96 divisors (see below), whose sum is σ = 14182439040. Its totient is φ = 1796631552.

The previous prime is 5246464147. The next prime is 5246464169. The reversal of 5246464160 is 614646425.

It is not an unprimeable number, because it can be changed into a prime (5246464169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138982 + ... + 1143578.

It is an arithmetic number, because the mean of its divisors is an integer number (147733740).

Almost surely, 25246464160 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 5246464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091219520).

5246464160 is an abundant number, since it is smaller than the sum of its proper divisors (8935974880).

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

5246464160 is a wasteful number, since it uses less digits than its factorization.

5246464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 5246464160 is about 72432.4800072454. The cubic root of 5246464160 is about 1737.6230546872.

The spelling of 5246464160 in words is "five billion, two hundred forty-six million, four hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1019 1120 2038 4076 4597 5095 7133 8152 9194 10190 14266 16304 18388 20380 22985 28532 32179 32608 35665 36776 40760 45970 57064 64358 71330 73552 81520 91940 114128 128716 142660 147104 160895 163040 183880 228256 257432 285320 321790 367760 514864 570640 643580 735520 1029728 1141280 1287160 2574320 4684343 5148640 9368686 18737372 23421715 32790401 37474744 46843430 65580802 74949488 93686860 131161604 149898976 163952005 187373720 262323208 327904010 374747440 524646416 655808020 749494880 1049292832 1311616040 2623232080 5246464160