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2833064640 = 263357139337
BaseRepresentation
bin1010100011011101…
…0010001011000000
321022102220121002000
42220313102023000
521300231032030
61145042224000
7130130436450
oct25067221300
97272817060
102833064640
11122421143a
12670955000
13361c36113
141cc38dd60
15118abb860
hexa8dd22c0

2833064640 has 448 divisors, whose sum is σ = 11538508800. Its totient is φ = 640991232.

The previous prime is 2833064639. The next prime is 2833064657. The reversal of 2833064640 is 464603382.

It is a happy number.

2833064640 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2833064595 and 2833064604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8406552 + ... + 8406888.

It is an arithmetic number, because the mean of its divisors is an integer number (25755600).

Almost surely, 22833064640 is an apocalyptic number.

2833064640 is a gapful number since it is divisible by the number (20) 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 2833064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769254400).

2833064640 is an abundant number, since it is smaller than the sum of its proper divisors (8705444160).

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

2833064640 is a wasteful number, since it uses less digits than its factorization.

2833064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2833064640 is about 53226.5407480140. The cubic root of 2833064640 is about 1414.9860595379.

The spelling of 2833064640 in words is "two billion, eight hundred thirty-three million, sixty-four thousand, six hundred forty".