Search a number
-
+
4734984480 = 253525139301
BaseRepresentation
bin1000110100011101…
…00010000100100000
3110012222201010121120
410122032202010200
534144124000410
62101503052240
7225223463322
oct43216420440
913188633546
104734984480
11200a858a16
12b018a1080
135a5c8c785
1432cbd7612
151caa58570
hex11a3a2120

4734984480 has 96 divisors (see below), whose sum is σ = 14975005248. Its totient is φ = 1257600000.

The previous prime is 4734984479. The next prime is 4734984487. The reversal of 4734984480 is 844894374.

It is a happy number.

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 (4734984487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100830 + ... + 140130.

It is an arithmetic number, because the mean of its divisors is an integer number (155989638).

Almost surely, 24734984480 is an apocalyptic number.

4734984480 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 4734984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487502624).

4734984480 is an abundant number, since it is smaller than the sum of its proper divisors (10240020768).

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

4734984480 is a wasteful number, since it uses less digits than its factorization.

4734984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39570 (or 39562 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 4734984480 is about 68811.2235031466. The cubic root of 4734984480 is about 1679.2145421257.

The spelling of 4734984480 in words is "four billion, seven hundred thirty-four million, nine hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 39301 40160 60240 78602 117903 120480 157204 196505 235806 314408 393010 471612 589515 628816 786020 943224 1179030 1257632 1572040 1886448 2358060 3144080 3772896 4716120 6288160 9432240 9864551 18864480 19729102 29593653 39458204 49322755 59187306 78916408 98645510 118374612 147968265 157832816 197291020 236749224 295936530 315665632 394582040 473498448 591873060 789164080 946996896 1183746120 1578328160 2367492240 4734984480