Search a number
-
+
2939668842 = 2311794611223
BaseRepresentation
bin1010111100110111…
…1100100101101010
321120212111122112210
42233031330211222
522010023400332
61203411145550
7132563526045
oct25715744552
97525448483
102939668842
111279403790
126a05a52b6
1337b04c926
141dc5bdc5c
15123127ecc
hexaf37c96a

2939668842 has 64 divisors (see below), whose sum is σ = 6514421760. Its totient is φ = 876907200.

The previous prime is 2939668811. The next prime is 2939668867. The reversal of 2939668842 is 2488669392.

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 31 ways as a sum of consecutive naturals, for example, 2403043 + ... + 2404265.

It is an arithmetic number, because the mean of its divisors is an integer number (101787840).

Almost surely, 22939668842 is an apocalyptic number.

2939668842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939668842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257210880).

2939668842 is an abundant number, since it is smaller than the sum of its proper divisors (3574752918).

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

2939668842 is a wasteful number, since it uses less digits than its factorization.

2939668842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779.

The product of its digits is 8957952, while the sum is 57.

The square root of 2939668842 is about 54218.7130241949. The cubic root of 2939668842 is about 1432.5159616775.

The spelling of 2939668842 in words is "two billion, nine hundred thirty-nine million, six hundred sixty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 461 474 869 922 1223 1383 1738 2446 2607 2766 3669 5071 5214 7338 10142 13453 15213 26906 30426 36419 40359 72838 80718 96617 109257 193234 218514 289851 400609 563803 579702 801218 1062787 1127606 1201827 1691409 2125574 2403654 3188361 3382818 6201833 6376722 12403666 18605499 37210998 44540437 89080874 133621311 267242622 489944807 979889614 1469834421 2939668842