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2821293824 = 28107127811
BaseRepresentation
bin1010100000101001…
…1000011100000000
321021121202120112212
42220022120130000
521234222400244
61143542041252
7126625413266
oct25012303400
97247676485
102821293824
111218601898
12668a19228
1335c67453b
141ca9a8436
15117a43d9e
hexa8298700

2821293824 has 72 divisors (see below), whose sum is σ = 5736019968. Its totient is φ = 1384750080.

The previous prime is 2821293823. The next prime is 2821293841. The reversal of 2821293824 is 4283921282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821293823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478379 + ... + 3479189.

It is an arithmetic number, because the mean of its divisors is an integer number (79666944).

Almost surely, 22821293824 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 2821293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868009984).

2821293824 is an abundant number, since it is smaller than the sum of its proper divisors (2914726144).

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

2821293824 is a wasteful number, since it uses less digits than its factorization.

2821293824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 2821293824 is about 53115.8528501614. The cubic root of 2821293824 is about 1413.0236780569.

The spelling of 2821293824 in words is "two billion, eight hundred twenty-one million, two hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 127 128 214 254 256 428 508 811 856 1016 1622 1712 2032 3244 3424 4064 6488 6848 8128 12976 13589 13696 16256 25952 27178 27392 32512 51904 54356 86777 102997 103808 108712 173554 205994 207616 217424 347108 411988 434848 694216 823976 869696 1388432 1647952 1739392 2776864 3295904 3478784 5553728 6591808 11020679 11107456 13183616 22041358 22214912 26367232 44082716 88165432 176330864 352661728 705323456 1410646912 2821293824