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2428376832 = 28327172521
BaseRepresentation
bin1001000010111110…
…0001011100000000
320021020102022202200
42100233201130000
514433131024312
61040544313200
7114114601560
oct22057413400
96236368680
102428376832
111036834502
12579312800
132c9142b8b
14190728da0
15e32ce0dc
hex90be1700

2428376832 has 324 divisors, whose sum is σ = 8516538576. Its totient is φ = 651755520.

The previous prime is 2428376831. The next prime is 2428376887. The reversal of 2428376832 is 2386738242.

2428376832 is a `hidden beast` number, since 242 + 8 + 376 + 8 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428376831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4660732 + ... + 4661252.

Almost surely, 22428376832 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 2428376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258269288).

2428376832 is an abundant number, since it is smaller than the sum of its proper divisors (6088161744).

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

2428376832 is a wasteful number, since it uses less digits than its factorization.

2428376832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2428376832 is about 49278.5636154302. The cubic root of 2428376832 is about 1344.1220127325.

The spelling of 2428376832 in words is "two billion, four hundred twenty-eight million, three hundred seventy-six thousand, eight hundred thirty-two".