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4848629760 = 211335131971
BaseRepresentation
bin1001000010000000…
…00011100000000000
3110111220112220122000
410201000003200000
534412222123020
62121042544000
7231103446552
oct44100034000
913456486560
104848629760
112068a1a337
12b33968000
135c36a00c0
1433dd3b4d2
151d5a06090
hex121003800

4848629760 has 768 divisors, whose sum is σ = 19813248000. Its totient is φ = 1114767360.

The previous prime is 4848629729. The next prime is 4848629761. The reversal of 4848629760 is 679268484.

4848629760 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 629 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4848629697 and 4848629706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848629761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68290525 + ... + 68290595.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 24848629760 is an apocalyptic number.

4848629760 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 4848629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4848629760 is an abundant number, since it is smaller than the sum of its proper divisors (14964618240).

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

4848629760 is a wasteful number, since it uses less digits than its factorization.

4848629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4848629760 is about 69632.1029411004. The cubic root of 4848629760 is about 1692.5428568473.

The spelling of 4848629760 in words is "four billion, eight hundred forty-eight million, six hundred twenty-nine thousand, seven hundred sixty".