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2083827384 = 23343215783
BaseRepresentation
bin111110000110100…
…1010111010111000
312101020002101210000
41330031022322320
513231424434014
6542435353000
7102432145332
oct17415127270
95336071700
102083827384
1197a2a23a1
124a1a52760
13272947872
1415aa7a452
15c2e20509
hex7c34aeb8

2083827384 has 40 divisors (see below), whose sum is σ = 5836647960. Its totient is φ = 694608912.

The previous prime is 2083827373. The next prime is 2083827401. The reversal of 2083827384 is 4837283802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1607244 + ... + 1608539.

It is an arithmetic number, because the mean of its divisors is an integer number (145916199).

Almost surely, 22083827384 is an apocalyptic number.

2083827384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2083827384 is an abundant number, since it is smaller than the sum of its proper divisors (3752820576).

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

2083827384 is a wasteful number, since it uses less digits than its factorization.

2083827384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215801 (or 3215788 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2083827384 is about 45648.9581918361. The cubic root of 2083827384 is about 1277.2833381926.

The spelling of 2083827384 in words is "two billion, eighty-three million, eight hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3215783 6431566 9647349 12863132 19294698 25726264 28942047 38589396 57884094 77178792 86826141 115768188 173652282 231536376 260478423 347304564 520956846 694609128 1041913692 2083827384