Search a number
-
+
4930649840 = 245238930109
BaseRepresentation
bin1001001011110001…
…11011111011110000
3110201121212222000202
410211320323323300
540044221243330
62133132534332
7233120555264
oct44570737360
913647788022
104930649840
112100250226
12b573213a8
13607689aac
1434abac0a4
151dcd08445
hex125e3bef0

4930649840 has 80 divisors (see below), whose sum is σ = 12096993600. Its totient is φ = 1865250816.

The previous prime is 4930649833. The next prime is 4930649869. The reversal of 4930649840 is 489460394.

It is a happy number.

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

It is a super-2 number, since 2×49306498402 = 48622615689384051200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 148706 + ... + 178814.

It is an arithmetic number, because the mean of its divisors is an integer number (151212420).

Almost surely, 24930649840 is an apocalyptic number.

4930649840 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 4930649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048496800).

4930649840 is an abundant number, since it is smaller than the sum of its proper divisors (7166343760).

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

4930649840 is a wasteful number, since it uses less digits than its factorization.

4930649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30234 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 4930649840 is about 70218.5861435560. The cubic root of 4930649840 is about 1702.0333040984.

The spelling of 4930649840 in words is "four billion, nine hundred thirty million, six hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 920 1424 1780 1840 2047 3560 4094 7120 8188 10235 16376 20470 30109 32752 40940 60218 81880 120436 150545 163760 240872 301090 481744 602180 692507 1204360 1385014 2408720 2679701 2770028 3462535 5359402 5540056 6925070 10718804 11080112 13398505 13850140 21437608 26797010 27700280 42875216 53594020 55400560 61633123 107188040 123266246 214376080 246532492 308165615 493064984 616331230 986129968 1232662460 2465324920 4930649840