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4804957248 = 2637213172311
BaseRepresentation
bin1000111100110010…
…11101010001000000
3110101212101010012120
410132121131101000
534320032112443
62112442524240
7230033314500
oct43631352100
913355333176
104804957248
112046300553
12b21206680
135b761ba90
1433820da00
151d1c7b083
hex11e65d440

4804957248 has 336 divisors, whose sum is σ = 16870460544. Its totient is φ = 1192181760.

The previous prime is 4804957247. The next prime is 4804957271. The reversal of 4804957248 is 8427594084.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×48049572482 = 46175228310215467008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4804957248.

It is not an unprimeable number, because it can be changed into a prime (4804957247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078013 + ... + 2080323.

It is an arithmetic number, because the mean of its divisors is an integer number (50209704).

Almost surely, 24804957248 is an apocalyptic number.

4804957248 is a gapful number since it is divisible by the number (48) 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 4804957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435230272).

4804957248 is an abundant number, since it is smaller than the sum of its proper divisors (12065503296).

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

4804957248 is a wasteful number, since it uses less digits than its factorization.

4804957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 4804957248 is about 69317.7989263941. The cubic root of 4804957248 is about 1687.4458398201.

The spelling of 4804957248 in words is "four billion, eight hundred four million, nine hundred fifty-seven thousand, two hundred forty-eight".