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2048297472 = 293213311103
BaseRepresentation
bin111101000010110…
…1000101000000000
312021202020021220100
41322011220220000
513143331004342
6535130042400
7101521145514
oct17205505000
95252207810
102048297472
11961235231
12491b79400
13268487850
1415606c144
15bec52e4c
hex7a168a00

2048297472 has 240 divisors, whose sum is σ = 6577579008. Its totient is φ = 609361920.

The previous prime is 2048297443. The next prime is 2048297477. The reversal of 2048297472 is 2747928402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048297477) 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 23 ways as a sum of consecutive naturals, for example, 1856473 + ... + 1857575.

Almost surely, 22048297472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288789504).

2048297472 is an abundant number, since it is smaller than the sum of its proper divisors (4529281536).

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

2048297472 is a wasteful number, since it uses less digits than its factorization.

2048297472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2048297472 is about 45258.1205089208. The cubic root of 2048297472 is about 1269.9823239320.

The spelling of 2048297472 in words is "two billion, forty-eight million, two hundred ninety-seven thousand, four hundred seventy-two".