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2789024238 = 2377311132
BaseRepresentation
bin1010011000111101…
…0010000111101110
321012101001010000000
42212033102013232
521202442233423
61140430245130
7126054213000
oct24617220756
97171033000
102789024238
111201371210
1265a0567a6
13355a86500
141c65a8370
15114cbc843
hexa63d21ee

2789024238 has 384 divisors, whose sum is σ = 8643456000. Its totient is φ = 668697120.

The previous prime is 2789024197. The next prime is 2789024243. The reversal of 2789024238 is 8324209872.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2789024193 and 2789024202.

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 191 ways as a sum of consecutive naturals, for example, 214540320 + ... + 214540332.

It is an arithmetic number, because the mean of its divisors is an integer number (22509000).

Almost surely, 22789024238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2789024238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321728000).

2789024238 is an abundant number, since it is smaller than the sum of its proper divisors (5854431762).

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

2789024238 is an equidigital number, since it uses as much as digits as its factorization.

2789024238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2789024238 is about 52811.2131843229. The cubic root of 2789024238 is about 1407.6156806490.

The spelling of 2789024238 in words is "two billion, seven hundred eighty-nine million, twenty-four thousand, two hundred thirty-eight".