Search a number
-
+
4933448064 = 27327160317
BaseRepresentation
bin1001001100000111…
…00111000110000000
3110201211011010110200
410212003213012000
540100430314224
62133312525200
7233153421336
oct44603470600
913654133420
104933448064
112101891606
12b58250800
1360812964c
1434b2d9b56
151dd1ac5c9
hex1260e7180

4933448064 has 96 divisors (see below), whose sum is σ = 14396700240. Its totient is φ = 1621294080.

The previous prime is 4933448057. The next prime is 4933448137. The reversal of 4933448064 is 4608443394.

It is a happy number.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51634 + ... + 111950.

Almost surely, 24933448064 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 4933448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198350120).

4933448064 is an abundant number, since it is smaller than the sum of its proper divisors (9463252176).

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

4933448064 is a wasteful number, since it uses less digits than its factorization.

4933448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60408 (or 60393 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4933448064 is about 70238.5084124086. The cubic root of 4933448064 is about 1702.3552204052.

The spelling of 4933448064 in words is "four billion, nine hundred thirty-three million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1136 1152 1278 1704 2272 2556 3408 4544 5112 6816 9088 10224 13632 20448 27264 40896 60317 81792 120634 180951 241268 361902 482536 542853 723804 965072 1085706 1447608 1930144 2171412 2895216 3860288 4282507 4342824 5790432 7720576 8565014 8685648 11580864 12847521 17130028 17371296 23161728 25695042 34260056 34742592 38542563 51390084 68520112 69485184 77085126 102780168 137040224 154170252 205560336 274080448 308340504 411120672 548160896 616681008 822241344 1233362016 1644482688 2466724032 4933448064