Search a number
-
+
4838296320 = 283351121389
BaseRepresentation
bin1001000000110001…
…01000101100000000
3110111012002220211000
410200120220230000
534402100440240
62120033252000
7230616561114
oct44030505400
913435086730
104838296320
112063101700
12b30404000
135c14c2840
1433c80b744
151d4b64430
hex120628b00

4838296320 has 864 divisors, whose sum is σ = 20552011200. Its totient is φ = 1070530560.

The previous prime is 4838296297. The next prime is 4838296321. The reversal of 4838296320 is 236928384.

4838296320 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 2 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×48382963202 = 46818222560251084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4838296321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54362836 + ... + 54362924.

It is an arithmetic number, because the mean of its divisors is an integer number (23787050).

Almost surely, 24838296320 is an apocalyptic number.

4838296320 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 4838296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276005600).

4838296320 is an abundant number, since it is smaller than the sum of its proper divisors (15713714880).

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

4838296320 is a wasteful number, since it uses less digits than its factorization.

4838296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4838296320 is about 69557.8631069127. The cubic root of 4838296320 is about 1691.3396145257.

The spelling of 4838296320 in words is "four billion, eight hundred thirty-eight million, two hundred ninety-six thousand, three hundred twenty".