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2055942000 = 2434537337
BaseRepresentation
bin111101010001011…
…0010111101110000
312022021121200020000
41322202302331300
513202310121000
6540001550000
7101643135000
oct17242627560
95267550200
102055942000
11965586722
12494645300
13269c33238
1415709c000
15c0763000
hex7a8b2f70

2055942000 has 800 divisors, whose sum is σ = 8894371200. Its totient is φ = 457228800.

The previous prime is 2055941999. The next prime is 2055942013. The reversal of 2055942000 is 2495502.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 55565982 + ... + 55566018.

It is an arithmetic number, because the mean of its divisors is an integer number (11117964).

Almost surely, 22055942000 is an apocalyptic number.

2055942000 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 2055942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447185600).

2055942000 is an abundant number, since it is smaller than the sum of its proper divisors (6838429200).

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

2055942000 is an equidigital number, since it uses as much as digits as its factorization.

2055942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2055942000 is about 45342.4966229254. The cubic root of 2055942000 is about 1271.5602787673.

The spelling of 2055942000 in words is "two billion, fifty-five million, nine hundred forty-two thousand".