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804969984 = 2937132443
BaseRepresentation
bin101111111110101…
…101111000000000
32002002200201020010
4233332231320000
53122033014414
6211513144520
725643063160
oct5776557000
92062621203
10804969984
11383425955
121a56bb140
13caa03100
1478ca05a0
154aa09959
hex2ffade00

804969984 has 240 divisors, whose sum is σ = 2659865472. Its totient is φ = 211820544.

The previous prime is 804969983. The next prime is 804970007. The reversal of 804969984 is 489969408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804969983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1816867 + ... + 1817309.

Almost surely, 2804969984 is an apocalyptic number.

804969984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329932736).

804969984 is an abundant number, since it is smaller than the sum of its proper divisors (1854895488).

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

804969984 is a wasteful number, since it uses less digits than its factorization.

804969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 804969984 is about 28371.9929507957. The cubic root of 804969984 is about 930.2361846656.

The spelling of 804969984 in words is "eight hundred four million, nine hundred sixty-nine thousand, nine hundred eighty-four".