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2048004000 = 2535537243
BaseRepresentation
bin111101000010010…
…0000111110100000
312021201200101100000
41322010200332200
513143242112000
6535115500000
7101515514100
oct17204407640
95251611300
102048004000
11961054799
12491a57600
132683b40b3
14155dd3200
15bebe6000
hex7a120fa0

2048004000 has 864 divisors, whose sum is σ = 8972099136. Its totient is φ = 457228800.

The previous prime is 2048003963. The next prime is 2048004011. The reversal of 2048004000 is 4008402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 47627979 + ... + 47628021.

It is an arithmetic number, because the mean of its divisors is an integer number (10384374).

Almost surely, 22048004000 is an apocalyptic number.

2048004000 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 2048004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486049568).

2048004000 is an abundant number, since it is smaller than the sum of its proper divisors (6924095136).

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

2048004000 is an equidigital number, since it uses as much as digits as its factorization.

2048004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2048004000 is about 45254.8781900913. The cubic root of 2048004000 is about 1269.9216683454.

The spelling of 2048004000 in words is "two billion, forty-eight million, four thousand".