Search a number
-
+
4848480480 = 253543234907
BaseRepresentation
bin1001000001111110…
…11111000011100000
3110111220021022212010
410200333133003200
534412202333410
62121035432520
7231102255414
oct44077370340
913456238763
104848480480
112068928168
12b338b5740
135c364a17c
1433dcdcd44
151d59c6c20
hex120fdf0e0

4848480480 has 96 divisors (see below), whose sum is σ = 15627959424. Its totient is φ = 1262854656.

The previous prime is 4848480361. The next prime is 4848480487. The reversal of 4848480480 is 840848484.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848480487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96814 + ... + 138093.

It is an arithmetic number, because the mean of its divisors is an integer number (162791244).

Almost surely, 24848480480 is an apocalyptic number.

4848480480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4848480480 is an abundant number, since it is smaller than the sum of its proper divisors (10779478944).

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

4848480480 is a wasteful number, since it uses less digits than its factorization.

4848480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234968 (or 234960 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4848480480 is about 69631.0310134785. The cubic root of 4848480480 is about 1692.5254866208.

The spelling of 4848480480 in words is "four billion, eight hundred forty-eight million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 234907 469814 704721 939628 1174535 1409442 1879256 2349070 2818884 3523605 3758512 4698140 5637768 7047210 7517024 9396280 10101001 11275536 14094420 18792560 20202002 22551072 28188840 30303003 37585120 40404004 50505005 56377680 60606006 80808008 101010010 112755360 121212012 151515015 161616016 202020020 242424024 303030030 323232032 404040040 484848048 606060060 808080080 969696096 1212120120 1616160160 2424240240 4848480480