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2082355248 = 2431073171279
BaseRepresentation
bin111110000011110…
…0011100000110000
312101010022121101110
41330013203200300
513231040331443
6542344033320
7102413504361
oct17407434060
95333277343
102082355248
11979487356
124a1462840
1327255078c
1415a7b5b68
15c2c2e233
hex7c1e3830

2082355248 has 80 divisors (see below), whose sum is σ = 5451079680. Its totient is φ = 684926208.

The previous prime is 2082355241. The next prime is 2082355259. The reversal of 2082355248 is 8425532802.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2082355241) 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, 1627473 + ... + 1628751.

It is an arithmetic number, because the mean of its divisors is an integer number (68138496).

Almost surely, 22082355248 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 2082355248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725539840).

2082355248 is an abundant number, since it is smaller than the sum of its proper divisors (3368724432).

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

2082355248 is a wasteful number, since it uses less digits than its factorization.

2082355248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 2082355248 is about 45632.8308129136. The cubic root of 2082355248 is about 1276.9824850981.

The spelling of 2082355248 in words is "two billion, eighty-two million, three hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 317 321 428 634 642 856 951 1268 1279 1284 1712 1902 2536 2558 2568 3804 3837 5072 5116 5136 7608 7674 10232 15216 15348 20464 30696 33919 61392 67838 101757 135676 136853 203514 271352 273706 405443 407028 410559 542704 547412 810886 814056 821118 1094824 1216329 1621772 1628112 1642236 2189648 2432658 3243544 3284472 4865316 6487088 6568944 9730632 19461264 43382401 86764802 130147203 173529604 260294406 347059208 520588812 694118416 1041177624 2082355248