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2390854752 = 2533111337523
BaseRepresentation
bin1000111010000001…
…1000110001100000
320011121211000011000
42032200120301200
514344024323002
61033124152000
7113150634006
oct21640306140
96147730130
102390854752
111017636620
12568838600
132c1436170
1418975ca76
15ded6b61c
hex8e818c60

2390854752 has 384 divisors, whose sum is σ = 8429944320. Its totient is φ = 649451520.

The previous prime is 2390854747. The next prime is 2390854769. The reversal of 2390854752 is 2574580932.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2390854698 and 2390854707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571163 + ... + 4571685.

It is an arithmetic number, because the mean of its divisors is an integer number (21952980).

Almost surely, 22390854752 is an apocalyptic number.

2390854752 is a gapful number since it is divisible by the number (22) 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 2390854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214972160).

2390854752 is an abundant number, since it is smaller than the sum of its proper divisors (6039089568).

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

2390854752 is a wasteful number, since it uses less digits than its factorization.

2390854752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2390854752 is about 48896.3674724411. The cubic root of 2390854752 is about 1337.1631437704.

The spelling of 2390854752 in words is "two billion, three hundred ninety million, eight hundred fifty-four thousand, seven hundred fifty-two".