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2382313752 = 23327213127409
BaseRepresentation
bin1000110111111111…
…0011100100011000
320011000202002002200
42031333303210120
514334333020002
61032221130200
7113015222100
oct21577634430
96130662080
102382313752
111012832645
125659b9960
132bc735710
14188578200
15de230b1c
hex8dff3918

2382313752 has 288 divisors, whose sum is σ = 8166412800. Its totient is φ = 621831168.

The previous prime is 2382313729. The next prime is 2382313763. The reversal of 2382313752 is 2573132832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5824524 + ... + 5824932.

It is an arithmetic number, because the mean of its divisors is an integer number (28355600).

Almost surely, 22382313752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382313752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083206400).

2382313752 is an abundant number, since it is smaller than the sum of its proper divisors (5784099048).

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

2382313752 is a wasteful number, since it uses less digits than its factorization.

2382313752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2382313752 is about 48808.9515560414. The cubic root of 2382313752 is about 1335.5689667512.

The spelling of 2382313752 in words is "two billion, three hundred eighty-two million, three hundred thirteen thousand, seven hundred fifty-two".