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2083385024 = 26717326881
BaseRepresentation
bin111110000101101…
…1110111011000000
312101012020220222022
41330023132323000
513231321310044
6542422101012
7102425323550
oct17413367300
95335226868
102083385024
1197a020006
124a187a768
13272821406
1415a9a3160
15c2d843ee
hex7c2deec0

2083385024 has 56 divisors (see below), whose sum is σ = 4752307488. Its totient is φ = 887685120.

The previous prime is 2083384999. The next prime is 2083385047. The reversal of 2083385024 is 4205833802.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 64064 + ... + 90944.

Almost surely, 22083385024 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 2083385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376153744).

2083385024 is an abundant number, since it is smaller than the sum of its proper divisors (2668922464).

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

2083385024 is a wasteful number, since it uses less digits than its factorization.

2083385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27073 (or 27063 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2083385024 is about 45644.1126981345. The cubic root of 2083385024 is about 1277.1929501807.

The spelling of 2083385024 in words is "two billion, eighty-three million, three hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 2422 2768 4844 5536 9688 11072 19376 26881 38752 53762 77504 107524 188167 215048 376334 430096 752668 860192 1505336 1720384 3010672 4650413 6021344 9300826 12042688 18601652 32552891 37203304 65105782 74406608 130211564 148813216 260423128 297626432 520846256 1041692512 2083385024