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2830500816 = 243111317127191
BaseRepresentation
bin1010100010110110…
…0000001111010000
321022021002100011120
42220231200033100
521244102011231
61144511242240
7130066600653
oct25055401720
97267070146
102830500816
111222820180
1266bb19380
13361549170
141cbcc389a
15118761d96
hexa8b603d0

2830500816 has 320 divisors, whose sum is σ = 9215410176. Its totient is φ = 735436800.

The previous prime is 2830500811. The next prime is 2830500847. The reversal of 2830500816 is 6180050382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830500811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14819281 + ... + 14819471.

Almost surely, 22830500816 is an apocalyptic number.

2830500816 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 2830500816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607705088).

2830500816 is an abundant number, since it is smaller than the sum of its proper divisors (6384909360).

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

2830500816 is a wasteful number, since it uses less digits than its factorization.

2830500816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2830500816 is about 53202.4512217247. The cubic root of 2830500816 is about 1414.5590931526.

The spelling of 2830500816 in words is "two billion, eight hundred thirty million, five hundred thousand, eight hundred sixteen".