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2084209312 = 25435328579
BaseRepresentation
bin111110000111010…
…1000001010100000
312101020210210200111
41330032220022200
513232024144222
6542451501104
7102435325663
oct17416501240
95336723614
102084209312
1197a533339
124a1bb7794
13272a4c663
1415ab396da
15c2e98777
hex7c3a82a0

2084209312 has 48 divisors (see below), whose sum is σ = 4278083040. Its totient is φ = 998629632.

The previous prime is 2084209301. The next prime is 2084209339. The reversal of 2084209312 is 2139024802.

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 7 ways as a sum of consecutive naturals, for example, 58639 + ... + 87217.

It is an arithmetic number, because the mean of its divisors is an integer number (89126730).

Almost surely, 22084209312 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 2084209312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139041520).

2084209312 is an abundant number, since it is smaller than the sum of its proper divisors (2193873728).

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

2084209312 is a wasteful number, since it uses less digits than its factorization.

2084209312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28685 (or 28677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2084209312 is about 45653.1413157956. The cubic root of 2084209312 is about 1277.3613677636.

The spelling of 2084209312 in words is "two billion, eighty-four million, two hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 53 86 106 172 212 344 424 688 848 1376 1696 2279 4558 9116 18232 28579 36464 57158 72928 114316 228632 457264 914528 1228897 1514687 2457794 3029374 4915588 6058748 9831176 12117496 19662352 24234992 39324704 48469984 65131541 130263082 260526164 521052328 1042104656 2084209312