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2083957950 = 235231676689
BaseRepresentation
bin111110000110110…
…1010110010111110
312101020100000212210
41330031222302332
513231443123300
6542442241250
7102433231104
oct17415526276
95336300783
102083957950
1197a3814a8
124a1ab6226
13272992119
1415aab1c74
15c2e49050
hex7c36acbe

2083957950 has 96 divisors (see below), whose sum is σ = 5415367680. Its totient is φ = 529689600.

The previous prime is 2083957949. The next prime is 2083957973. The reversal of 2083957950 is 597593802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2083957950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308206 + ... + 314894.

It is an arithmetic number, because the mean of its divisors is an integer number (56410080).

Almost surely, 22083957950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083957950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707683840).

2083957950 is an abundant number, since it is smaller than the sum of its proper divisors (3331409730).

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

2083957950 is a wasteful number, since it uses less digits than its factorization.

2083957950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 2083957950 is about 45650.3882787430. The cubic root of 2083957950 is about 1277.3100144734.

The spelling of 2083957950 in words is "two billion, eighty-three million, nine hundred fifty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 67 75 93 134 150 155 186 201 310 335 402 465 670 775 930 1005 1550 1675 2010 2077 2325 3350 4154 4650 5025 6231 6689 10050 10385 12462 13378 20067 20770 31155 33445 40134 51925 62310 66890 100335 103850 155775 167225 200670 207359 311550 334450 414718 448163 501675 622077 896326 1003350 1036795 1244154 1344489 2073590 2240815 2688978 3110385 4481630 5183975 6220770 6722445 10367950 11204075 13444890 13893053 15551925 22408150 27786106 31103850 33612225 41679159 67224450 69465265 83358318 138930530 208395795 347326325 416791590 694652650 1041978975 2083957950