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4093209856 = 281093832
BaseRepresentation
bin1111001111111001…
…0110110100000000
3101120021002121100001
43303332112310000
531340330203411
61514055405344
7203301465301
oct36376266400
911507077301
104093209856
11181056816a
12962983854
13503028688
142ab8987a8
1518e537dc1
hexf3f96d00

4093209856 has 54 divisors (see below), whose sum is σ = 8266973330. Its totient is φ = 2022534144.

The previous prime is 4093209847. The next prime is 4093209877. The reversal of 4093209856 is 6589023904.

It can be written as a sum of positive squares in only one way, i.e., 3755238400 + 337971456 = 61280^2 + 18384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10687041 + ... + 10687423.

Almost surely, 24093209856 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 4093209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133486665).

4093209856 is an abundant number, since it is smaller than the sum of its proper divisors (4173763474).

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

4093209856 is an frugal number, since it uses more digits than its factorization.

4093209856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 4093209856 is about 63978.1982866039. The cubic root of 4093209856 is about 1599.6366174770.

The spelling of 4093209856 in words is "four billion, ninety-three million, two hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 383 436 766 872 1532 1744 3064 3488 6128 6976 12256 13952 24512 27904 41747 49024 83494 98048 146689 166988 293378 333976 586756 667952 1173512 1335904 2347024 2671808 4694048 5343616 9388096 10687232 15989101 18776192 31978202 37552384 63956404 127912808 255825616 511651232 1023302464 2046604928 4093209856