Search a number
-
+
2939608992 = 253178112221
BaseRepresentation
bin1010111100110110…
…1101111110100000
321120212101121110010
42233031231332200
522010014441432
61203410004520
7132563156415
oct25715557640
97525347403
102939608992
111279372821
126a0576740
1337b02b608
141dc5a610c
151231153cc
hexaf36dfa0

2939608992 has 96 divisors (see below), whose sum is σ = 8184141504. Its totient is φ = 920678400.

The previous prime is 2939608963. The next prime is 2939608999. The reversal of 2939608992 is 2998069392.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2939608999) 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, 1322442 + ... + 1324662.

It is an arithmetic number, because the mean of its divisors is an integer number (85251474).

Almost surely, 22939608992 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 2939608992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092070752).

2939608992 is an abundant number, since it is smaller than the sum of its proper divisors (5244532512).

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

2939608992 is a wasteful number, since it uses less digits than its factorization.

2939608992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 2939608992 is about 54218.1610901735. The cubic root of 2939608992 is about 1432.5062398724.

The spelling of 2939608992 in words is "two billion, nine hundred thirty-nine million, six hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 811 816 1622 1632 2221 2433 3244 4442 4866 6488 6663 8884 9732 12976 13326 13787 17768 19464 25952 26652 27574 35536 37757 38928 41361 53304 55148 71072 75514 77856 82722 106608 110296 113271 151028 165444 213216 220592 226542 302056 330888 441184 453084 604112 661776 906168 1208224 1323552 1801231 1812336 3602462 3624672 5403693 7204924 10807386 14409848 21614772 28819696 30620927 43229544 57639392 61241854 86459088 91862781 122483708 172918176 183725562 244967416 367451124 489934832 734902248 979869664 1469804496 2939608992