Search a number
-
+
4946670320 = 245791276163
BaseRepresentation
bin1001001101101100…
…00011001011110000
3110202202000212222212
410212312003023300
540112321422240
62134504151252
7233404001234
oct44666031360
913682025885
104946670320
1121092a2699
12b60768528
1360aaa8a77
1434cd7c5c4
151de420165
hex126d832f0

4946670320 has 80 divisors (see below), whose sum is σ = 11740200960. Its totient is φ = 1937924352.

The previous prime is 4946670301. The next prime is 4946670343. The reversal of 4946670320 is 230766494.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799559 + ... + 805721.

It is an arithmetic number, because the mean of its divisors is an integer number (146752512).

Almost surely, 24946670320 is an apocalyptic number.

4946670320 is a gapful number since it is divisible by the number (40) 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 4946670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870100480).

4946670320 is an abundant number, since it is smaller than the sum of its proper divisors (6793530640).

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

4946670320 is a wasteful number, since it uses less digits than its factorization.

4946670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 4946670320 is about 70332.5694113332. The cubic root of 4946670320 is about 1703.8747051664.

The spelling of 4946670320 in words is "four billion, nine hundred forty-six million, six hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 127 158 254 316 395 508 632 635 790 1016 1264 1270 1580 2032 2540 3160 5080 6163 6320 10033 10160 12326 20066 24652 30815 40132 49304 50165 61630 80264 98608 100330 123260 160528 200660 246520 401320 486877 493040 782701 802640 973754 1565402 1947508 2434385 3130804 3895016 3913505 4868770 6261608 7790032 7827010 9737540 12523216 15654020 19475080 31308040 38950160 61833379 62616080 123666758 247333516 309166895 494667032 618333790 989334064 1236667580 2473335160 4946670320