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4894548960 = 2535719431783
BaseRepresentation
bin1001000111011110…
…01110001111100000
3110122002221211221010
410203233032033200
540011001031320
62125403100520
7232201660020
oct44357161740
913562854833
104894548960
112091933094
12b47211740
13600059c22
14346091a80
151d9a76ae0
hex123bce3e0

4894548960 has 384 divisors, whose sum is σ = 18989752320. Its totient is φ = 1034643456.

The previous prime is 4894548949. The next prime is 4894548977. The reversal of 4894548960 is 698454984.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4894548960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2744229 + ... + 2746011.

It is an arithmetic number, because the mean of its divisors is an integer number (49452480).

Almost surely, 24894548960 is an apocalyptic number.

4894548960 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 4894548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494876160).

4894548960 is an abundant number, since it is smaller than the sum of its proper divisors (14095203360).

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

4894548960 is a wasteful number, since it uses less digits than its factorization.

4894548960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 4894548960 is about 69961.0531653148. The cubic root of 4894548960 is about 1697.8691826671.

The spelling of 4894548960 in words is "four billion, eight hundred ninety-four million, five hundred forty-eight thousand, nine hundred sixty".