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2083211328 = 26311986369
BaseRepresentation
bin111110000101011…
…0100100001000000
312101011221002201010
41330022310201000
513231300230303
6542414240520
7102424001262
oct17412644100
95334832633
102083211328
11979a11560
124a17b6140
13272790333
1415a959b32
15c2d4cc03
hex7c2b4840

2083211328 has 56 divisors (see below), whose sum is σ = 6012911520. Its totient is φ = 631275520.

The previous prime is 2083211327. The next prime is 2083211329. The reversal of 2083211328 is 8231123802.

It is an interprime number because it is at equal distance from previous prime (2083211327) and next prime (2083211329).

It is a junction number, because it is equal to n+sod(n) for n = 2083211295 and 2083211304.

It is not an unprimeable number, because it can be changed into a prime (2083211321) 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, 491073 + ... + 495296.

It is an arithmetic number, because the mean of its divisors is an integer number (107373420).

Almost surely, 22083211328 is an apocalyptic number.

It is an amenable number.

2083211328 is an abundant number, since it is smaller than the sum of its proper divisors (3929700192).

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

2083211328 is a wasteful number, since it uses less digits than its factorization.

2083211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986395 (or 986385 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2083211328 is about 45642.2099377320. The cubic root of 2083211328 is about 1277.1574551458.

The spelling of 2083211328 in words is "two billion, eighty-three million, two hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 986369 1972738 2959107 3945476 5918214 7890952 10850059 11836428 15781904 21700118 23672856 31563808 32550177 43400236 47345712 63127616 65100354 86800472 94691424 130200708 173600944 189382848 260401416 347201888 520802832 694403776 1041605664 2083211328