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2838083976 = 23327133189157
BaseRepresentation
bin1010100100101001…
…1011100110001000
321022210100121022100
42221022123212020
521303022141401
61145341553400
7130221213210
oct25112334610
97283317270
102838083976
11122702a552
12672575860
13362ca2940
141cccd9240
1511925db86
hexa929b988

2838083976 has 384 divisors, whose sum is σ = 9938073600. Its totient is φ = 711659520.

The previous prime is 2838083959. The next prime is 2838084013. The reversal of 2838083976 is 6793808382.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18076890 + ... + 18077046.

It is an arithmetic number, because the mean of its divisors is an integer number (25880400).

Almost surely, 22838083976 is an apocalyptic number.

2838083976 is a gapful number since it is divisible by the number (26) 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 2838083976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969036800).

2838083976 is an abundant number, since it is smaller than the sum of its proper divisors (7099989624).

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

2838083976 is a wasteful number, since it uses less digits than its factorization.

2838083976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2838083976 is about 53273.6705699917. The cubic root of 2838083976 is about 1415.8212093517.

The spelling of 2838083976 in words is "two billion, eight hundred thirty-eight million, eighty-three thousand, nine hundred seventy-six".