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2000085248 = 2871935783
BaseRepresentation
bin111011100110110…
…1110000100000000
312011101111212011102
41313031232010000
513044010211443
6530244433532
7100364305220
oct16715560400
95141455142
102000085248
11936aa5717
124799a88a8
1325b4a70c5
1414d8bc080
15ba8cccb8
hex7736e100

2000085248 has 72 divisors (see below), whose sum is σ = 4587128448. Its totient is φ = 852590592.

The previous prime is 2000085193. The next prime is 2000085251. The reversal of 2000085248 is 8425800002.

It is a self number, because there is not a number n which added to its sum of digits gives 2000085248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342965 + ... + 348747.

Almost surely, 22000085248 is an apocalyptic number.

2000085248 is a gapful number since it is divisible by the number (28) 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 2000085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293564224).

2000085248 is an abundant number, since it is smaller than the sum of its proper divisors (2587043200).

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

2000085248 is an equidigital number, since it uses as much as digits as its factorization.

2000085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2000085248 is about 44722.3126414545. The cubic root of 2000085248 is about 1259.9389505988.

The spelling of 2000085248 in words is "two billion, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 224 256 386 448 772 896 1351 1544 1792 2702 3088 5404 5783 6176 10808 11566 12352 21616 23132 24704 40481 43232 46264 49408 80962 86464 92528 161924 172928 185056 323848 345856 370112 647696 740224 1116119 1295392 1480448 2232238 2590784 4464476 5181568 7812833 8928952 10363136 15625666 17857904 31251332 35715808 62502664 71431616 125005328 142863232 250010656 285726464 500021312 1000042624 2000085248