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2048002704 = 243411197561
BaseRepresentation
bin111101000010010…
…0000101010010000
312021201200022120000
41322010200222100
513143242041304
6535115450000
7101515510236
oct17204405220
95251608500
102048002704
11961053820
12491a56900
132683b3627
14155dd2956
15bebe5939
hex7a120a90

2048002704 has 200 divisors, whose sum is σ = 6807614880. Its totient is φ = 587865600.

The previous prime is 2048002703. The next prime is 2048002721. The reversal of 2048002704 is 4072008402.

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

It is not an unprimeable number, because it can be changed into a prime (2048002703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267084 + ... + 274644.

Almost surely, 22048002704 is an apocalyptic number.

2048002704 is a gapful number since it is divisible by the number (24) 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 2048002704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403807440).

2048002704 is an abundant number, since it is smaller than the sum of its proper divisors (4759612176).

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

2048002704 is a wasteful number, since it uses less digits than its factorization.

2048002704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2048002704 is about 45254.8638711907. The cubic root of 2048002704 is about 1269.9214004718.

The spelling of 2048002704 in words is "two billion, forty-eight million, two thousand, seven hundred four".