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803444064 = 25359141851
BaseRepresentation
bin101111111000111…
…001010101100000
32001222211012001120
4233320321111200
53121140202224
6211420332240
725624106343
oct5770712540
92058735046
10803444064
11382583465
121a50a4080
13ca5ba6b7
14789c445a
154a807779
hex2fe39560

803444064 has 48 divisors (see below), whose sum is σ = 2144802240. Its totient is φ = 263273600.

The previous prime is 803444063. The next prime is 803444071. The reversal of 803444064 is 460444308.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×8034440643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803444063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65262 + ... + 76589.

It is an arithmetic number, because the mean of its divisors is an integer number (44683380).

Almost surely, 2803444064 is an apocalyptic number.

It is an amenable number.

803444064 is an abundant number, since it is smaller than the sum of its proper divisors (1341358176).

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

803444064 is a wasteful number, since it uses less digits than its factorization.

803444064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141923 (or 141915 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 803444064 is about 28345.0888867895. The cubic root of 803444064 is about 929.6480203459.

The spelling of 803444064 in words is "eight hundred three million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 141851 283702 425553 567404 851106 1134808 1702212 2269616 3404424 4539232 6808848 8369209 13617696 16738418 25107627 33476836 50215254 66953672 100430508 133907344 200861016 267814688 401722032 803444064