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4923592128 = 2635731371
BaseRepresentation
bin1001001010111100…
…00000110111000000
3110201010121101200000
410211132000313000
540040414422003
62132321400000
7233003562000
oct44536006700
913633541600
104923592128
1120a726a704
12b54a99000
13606088530
14349c92000
151dc3b21a3
hex125780dc0

4923592128 has 672 divisors, whose sum is σ = 18639129600. Its totient is φ = 1280240640.

The previous prime is 4923592103. The next prime is 4923592171. The reversal of 4923592128 is 8212953294.

4923592128 is a `hidden beast` number, since 49 + 2 + 3 + 592 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (311040) is a multiple of the sum of its prime divisors (96).

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 95 ways as a sum of consecutive naturals, for example, 69346333 + ... + 69346403.

It is an arithmetic number, because the mean of its divisors is an integer number (27736800).

Almost surely, 24923592128 is an apocalyptic number.

4923592128 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 4923592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319564800).

4923592128 is an abundant number, since it is smaller than the sum of its proper divisors (13715537472).

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

4923592128 is an equidigital number, since it uses as much as digits as its factorization.

4923592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 4923592128 is about 70168.3128484646. The cubic root of 4923592128 is about 1701.2208218120.

The spelling of 4923592128 in words is "four billion, nine hundred twenty-three million, five hundred ninety-two thousand, one hundred twenty-eight".