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2045042280 = 2332541349397
BaseRepresentation
bin111100111100100…
…1101111001101000
312021112002220121200
41321321031321220
513142012323110
6534532204200
7101451400251
oct17171157150
95245086550
102045042280
1195a411596
12490a69660
132678b7cb8
14155861b28
15be80d6c0
hex79e4de68

2045042280 has 192 divisors, whose sum is σ = 6845202000. Its totient is φ = 529182720.

The previous prime is 2045042227. The next prime is 2045042287. The reversal of 2045042280 is 822405402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 731269764 + 1313772516 = 27042^2 + 36246^2 .

It is not an unprimeable number, because it can be changed into a prime (2045042287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5151042 + ... + 5151438.

Almost surely, 22045042280 is an apocalyptic number.

2045042280 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 2045042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422601000).

2045042280 is an abundant number, since it is smaller than the sum of its proper divisors (4800159720).

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

2045042280 is a wasteful number, since it uses less digits than its factorization.

2045042280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2045042280 is about 45222.1436908955. The cubic root of 2045042280 is about 1269.3092074771.

Adding to 2045042280 its reverse (822405402), we get a palindrome (2867447682).

The spelling of 2045042280 in words is "two billion, forty-five million, forty-two thousand, two hundred eighty".