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4962280960 = 295721317179
BaseRepresentation
bin1001001111100011…
…00110011000000000
3110210211101222202201
410213301212120000
540130320442320
62140222522544
7233653456300
oct44761463000
913724358681
104962280960
11211709514a
12b65a36454
136110b3330
14351083600
151e09a570a
hex127c66600

4962280960 has 480 divisors, whose sum is σ = 15869921760. Its totient is φ = 1469841408.

The previous prime is 4962280933. The next prime is 4962280993. The reversal of 4962280960 is 690822694.

It is a self number, because there is not a number n which added to its sum of digits gives 4962280960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27722151 + ... + 27722329.

It is an arithmetic number, because the mean of its divisors is an integer number (33062337).

Almost surely, 24962280960 is an apocalyptic number.

4962280960 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 4962280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934960880).

4962280960 is an abundant number, since it is smaller than the sum of its proper divisors (10907640800).

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

4962280960 is a wasteful number, since it uses less digits than its factorization.

4962280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 4962280960 is about 70443.4593131257. The cubic root of 4962280960 is about 1705.6651784912.

The spelling of 4962280960 in words is "four billion, nine hundred sixty-two million, two hundred eighty thousand, nine hundred sixty".