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2082789280 = 2551113294373
BaseRepresentation
bin111110000100100…
…1101011110100000
312101011010122202201
41330021031132200
513231143224110
6542401222544
7102420262645
oct17411153640
95334118681
102082789280
11979753460
124a1631a54
132726731c0
1415a889dcc
15c2cb7b3a
hex7c24d7a0

2082789280 has 384 divisors, whose sum is σ = 6203070720. Its totient is φ = 650280960.

The previous prime is 2082789277. The next prime is 2082789287. The reversal of 2082789280 is 829872802.

It is a super-2 number, since 2×20827892802 = 8676022369765836800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2082789280.

It is not an unprimeable number, because it can be changed into a prime (2082789287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28531324 + ... + 28531396.

It is an arithmetic number, because the mean of its divisors is an integer number (16153830).

Almost surely, 22082789280 is an apocalyptic number.

2082789280 is a gapful number since it is divisible by the number (20) 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 2082789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101535360).

2082789280 is an abundant number, since it is smaller than the sum of its proper divisors (4120281440).

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

2082789280 is a wasteful number, since it uses less digits than its factorization.

2082789280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 2082789280 is about 45637.5862639557. The cubic root of 2082789280 is about 1277.0712007898.

The spelling of 2082789280 in words is "two billion, eighty-two million, seven hundred eighty-nine thousand, two hundred eighty".