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1368482048 = 2817253349
BaseRepresentation
bin101000110010001…
…0110000100000000
310112101001002110022
41101210112010000
510300312411143
6343443153012
745624622403
oct12144260400
93471032408
101368482048
116425218aa
12322375768
1318a6948bb
14cda69d3a
158021b268
hex51916100

1368482048 has 108 divisors (see below), whose sum is σ = 2964975300. Its totient is φ = 630030336.

The previous prime is 1368482039. The next prime is 1368482053. The reversal of 1368482048 is 8402848631.

It is a Cunningham number, because it is equal to 369932-1.

It can be written as a sum of positive squares in 6 ways, for example, as 351637504 + 1016844544 = 18752^2 + 31888^2 .

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, 3920978 + ... + 3921326.

It is an arithmetic number, because the mean of its divisors is an integer number (27453475).

Almost surely, 21368482048 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 1368482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482487650).

1368482048 is an abundant number, since it is smaller than the sum of its proper divisors (1596493252).

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

1368482048 is an equidigital number, since it uses as much as digits as its factorization.

1368482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 1368482048 is about 36992.9999864839. Note that the first 4 decimals coincide. The cubic root of 1368482048 is about 1110.2301954742.

The spelling of 1368482048 in words is "one billion, three hundred sixty-eight million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 289 349 424 544 578 698 848 901 1088 1156 1396 1696 1802 2176 2312 2792 3392 3604 4352 4624 5584 5933 6784 7208 9248 11168 11866 13568 14416 15317 18496 18497 22336 23732 28832 30634 36992 36994 44672 47464 57664 61268 73984 73988 89344 94928 100861 115328 122536 147976 189856 201722 230656 245072 295952 314449 379712 403444 490144 591904 628898 759424 806888 980288 1183808 1257796 1518848 1613776 1960576 2367616 2515592 3227552 3921152 4735232 5031184 5345633 6455104 10062368 10691266 12910208 20124736 21382532 25820416 40249472 42765064 80498944 85530128 171060256 342120512 684241024 1368482048