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2084673528 = 2332717323909
BaseRepresentation
bin111110001000001…
…1001011111111000
312101021200101110200
41330100121133320
513232134023103
6542505442200
7102442301250
oct17420313770
95337611420
102084673528
1197a820093
124a21a0360
13272b82a42
1415ac1a960
15c303b0a3
hex7c4197f8

2084673528 has 96 divisors (see below), whose sum is σ = 6490130400. Its totient is φ = 592153344.

The previous prime is 2084673509. The next prime is 2084673533. The reversal of 2084673528 is 8253764802.

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 23 ways as a sum of consecutive naturals, for example, 75238 + ... + 99146.

It is an arithmetic number, because the mean of its divisors is an integer number (67605525).

Almost surely, 22084673528 is an apocalyptic number.

2084673528 is a gapful number since it is divisible by the number (28) 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 2084673528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245065200).

2084673528 is an abundant number, since it is smaller than the sum of its proper divisors (4405456872).

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

2084673528 is a wasteful number, since it uses less digits than its factorization.

2084673528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24101 (or 24094 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2084673528 is about 45658.2251954672. The cubic root of 2084673528 is about 1277.4561963016.

The spelling of 2084673528 in words is "two billion, eighty-four million, six hundred seventy-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 2076 2422 3114 3633 4152 4844 6228 7266 9688 10899 12456 14532 21798 23909 29064 43596 47818 71727 87192 95636 143454 167363 191272 215181 286908 334726 430362 502089 573816 669452 860724 1004178 1338904 1506267 1721448 2008356 3012534 4016712 4136257 6025068 8272514 12050136 12408771 16545028 24817542 28953799 33090056 37226313 49635084 57907598 74452626 86861397 99270168 115815196 148905252 173722794 231630392 260584191 297810504 347445588 521168382 694891176 1042336764 2084673528