Search a number
-
+
2076284448 = 25337249043
BaseRepresentation
bin111101111000001…
…1001011000100000
312100200220011211000
41323300121120200
513223012100243
6542005552000
7102311061300
oct17360313040
95320804730
102076284448
11976010267
1249b415600
132712064a4
14159a75600
15c24305d3
hex7bc19620

2076284448 has 144 divisors (see below), whose sum is σ = 7044680160. Its totient is φ = 593212032.

The previous prime is 2076284437. The next prime is 2076284461. The reversal of 2076284448 is 8444826702.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17815 + ... + 66857.

It is an arithmetic number, because the mean of its divisors is an integer number (48921390).

Almost surely, 22076284448 is an apocalyptic number.

2076284448 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 2076284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522340080).

2076284448 is an abundant number, since it is smaller than the sum of its proper divisors (4968395712).

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

2076284448 is a wasteful number, since it uses less digits than its factorization.

2076284448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49076 (or 49055 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2076284448 is about 45566.2643630131. The cubic root of 2076284448 is about 1275.7403257577.

The spelling of 2076284448 in words is "two billion, seventy-six million, two hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 49043 98086 147129 196172 294258 343301 392344 441387 588516 686602 784688 882774 1029903 1177032 1324161 1373204 1569376 1765548 2059806 2354064 2403107 2648322 2746408 3089709 3531096 4119612 4708128 4806214 5296644 5492816 6179418 7062192 7209321 8239224 9269127 9612428 10593288 10985632 12358836 14124384 14418642 16478448 18538254 19224856 21186576 21627963 24717672 28837284 32956896 37076508 38449712 42373152 43255926 49435344 57674568 64883889 74153016 76899424 86511852 98870688 115349136 129767778 148306032 173023704 230698272 259535556 296612064 346047408 519071112 692094816 1038142224 2076284448