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2939876080 = 245195336493
BaseRepresentation
bin1010111100111010…
…1111001011110000
321120212220011211021
42233032233023300
522010102013310
61203415425224
7132565351201
oct25716571360
97525804737
102939876080
111279535459
126a0685214
1337b0c305b
141dc6355a8
151231695da
hexaf3af2f0

2939876080 has 80 divisors (see below), whose sum is σ = 7330914720. Its totient is φ = 1093008384.

The previous prime is 2939876057. The next prime is 2939876083. The reversal of 2939876080 is 806789392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939876083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62314 + ... + 98806.

It is an arithmetic number, because the mean of its divisors is an integer number (91636434).

Almost surely, 22939876080 is an apocalyptic number.

2939876080 is a gapful number since it is divisible by the number (20) 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 2939876080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665457360).

2939876080 is an abundant number, since it is smaller than the sum of its proper divisors (4391038640).

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

2939876080 is a wasteful number, since it uses less digits than its factorization.

2939876080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36578 (or 36572 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 2939876080 is about 54220.6241203474. The cubic root of 2939876080 is about 1432.5496236060.

The spelling of 2939876080 in words is "two billion, nine hundred thirty-nine million, eight hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 2014 2120 4028 4240 5035 8056 10070 16112 20140 36493 40280 72986 80560 145972 182465 291944 364930 583888 693367 729860 1386734 1459720 1934129 2773468 2919440 3466835 3868258 5546936 6933670 7736516 9670645 11093872 13867340 15473032 19341290 27734680 30946064 36748451 38682580 55469360 73496902 77365160 146993804 154730320 183742255 293987608 367484510 587975216 734969020 1469938040 2939876080