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2047295448 = 233211171953151
BaseRepresentation
bin111101000000111…
…0011111111011000
312021200100101101100
41322001303333120
513143101423243
6535052351400
7101506503252
oct17201637730
95250311340
102047295448
11960710410
12491775560
132681c6733
14155c8acd2
15beb060d3
hex7a073fd8

2047295448 has 384 divisors, whose sum is σ = 6914419200. Its totient is φ = 539136000.

The previous prime is 2047295447. The next prime is 2047295461. The reversal of 2047295448 is 8445927402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047295441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13558173 + ... + 13558323.

It is an arithmetic number, because the mean of its divisors is an integer number (18006300).

Almost surely, 22047295448 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 2047295448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457209600).

2047295448 is an abundant number, since it is smaller than the sum of its proper divisors (4867123752).

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

2047295448 is a wasteful number, since it uses less digits than its factorization.

2047295448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2047295448 is about 45247.0490529493. The cubic root of 2047295448 is about 1269.7751990144.

The spelling of 2047295448 in words is "two billion, forty-seven million, two hundred ninety-five thousand, four hundred forty-eight".