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2047828384 = 25724612833
BaseRepresentation
bin111101000001111…
…0110000110100000
312021201100110102201
41322003312012200
513143221002014
6535112022544
7101514153100
oct17203660640
95251313381
102047828384
11960a44858
12491991a54
13268352194
14155d89200
15bebade74
hex7a0f61a0

2047828384 has 72 divisors (see below), whose sum is σ = 4701725028. Its totient is φ = 875427840.

The previous prime is 2047828369. The next prime is 2047828403. The reversal of 2047828384 is 4838287402.

It can be written as a sum of positive squares in 2 ways, for example, as 2004531984 + 43296400 = 44772^2 + 6580^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721432 + ... + 724264.

Almost surely, 22047828384 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 2047828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350862514).

2047828384 is an abundant number, since it is smaller than the sum of its proper divisors (2653896644).

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

2047828384 is a wasteful number, since it uses less digits than its factorization.

2047828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The square root of 2047828384 is about 45252.9378493817. The cubic root of 2047828384 is about 1269.8853687844.

The spelling of 2047828384 in words is "two billion, forty-seven million, eight hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 461 784 922 1568 1844 2833 3227 3688 5666 6454 7376 11332 12908 14752 19831 22589 22664 25816 39662 45178 45328 51632 79324 90356 90656 103264 138817 158648 180712 277634 317296 361424 555268 634592 722848 1110536 1306013 2221072 2612026 4442144 5224052 9142091 10448104 18284182 20896208 36568364 41792416 63994637 73136728 127989274 146273456 255978548 292546912 511957096 1023914192 2047828384