Search a number
-
+
4848275328 = 273137113679
BaseRepresentation
bin1001000001111101…
…01100111110000000
3110111212212220102220
410200332230332000
534412124302303
62121031211040
7231100442331
oct44076547600
913455786386
104848275328
1120687a8016
12b33816a80
135c35a7990
1433dc88288
151d5986053
hex120facf80

4848275328 has 128 divisors (see below), whose sum is σ = 14065228800. Its totient is φ = 1470658560.

The previous prime is 4848275321. The next prime is 4848275347. The reversal of 4848275328 is 8235728484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848275321) 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, 347593 + ... + 361271.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 24848275328 is an apocalyptic number.

4848275328 is a gapful number since it is divisible by the number (48) 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 4848275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

4848275328 is an abundant number, since it is smaller than the sum of its proper divisors (9216953472).

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

4848275328 is a wasteful number, since it uses less digits than its factorization.

4848275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13780 (or 13768 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 51.

The square root of 4848275328 is about 69629.5578615863. The cubic root of 4848275328 is about 1692.5016145446.

The spelling of 4848275328 in words is "four billion, eight hundred forty-eight million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 284 312 384 416 426 568 624 832 852 923 1136 1248 1664 1704 1846 2272 2496 2769 3408 3692 4544 4992 5538 6816 7384 9088 11076 13632 13679 14768 22152 27264 27358 29536 41037 44304 54716 59072 82074 88608 109432 118144 164148 177216 177827 218864 328296 354432 355654 437728 533481 656592 711308 875456 971209 1066962 1313184 1422616 1750912 1942418 2133924 2626368 2845232 2913627 3884836 4267848 5252736 5690464 5827254 7769672 8535696 11380928 11654508 12625717 15539344 17071392 22761856 23309016 25251434 31078688 34142784 37877151 46618032 50502868 62157376 68285568 75754302 93236064 101005736 124314752 151508604 186472128 202011472 303017208 372944256 404022944 606034416 808045888 1212068832 1616091776 2424137664 4848275328