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800148992 = 295992609
BaseRepresentation
bin101111101100010…
…100111000000000
32001202121210001212
4233230110320000
53114314231432
6211221545252
725554103616
oct5754247000
92052553055
10800148992
11380732865
121a3b75228
13c9a05956
14783a76b6
154a3a62b2
hex2fb14e00

800148992 has 40 divisors (see below), whose sum is σ = 1602018000. Its totient is φ = 399253504.

The previous prime is 800148977. The next prime is 800148997. The reversal of 800148992 is 299841008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800148997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305384 + ... + 307992.

It is an arithmetic number, because the mean of its divisors is an integer number (40050450).

Almost surely, 2800148992 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 800148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801009000).

800148992 is an abundant number, since it is smaller than the sum of its proper divisors (801869008).

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

800148992 is an equidigital number, since it uses as much as digits as its factorization.

800148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 800148992 is about 28286.9049561807. The cubic root of 800148992 is about 928.3753931122.

The spelling of 800148992 in words is "eight hundred million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 599 1198 2396 2609 4792 5218 9584 10436 19168 20872 38336 41744 76672 83488 153344 166976 306688 333952 667904 1335808 1562791 3125582 6251164 12502328 25004656 50009312 100018624 200037248 400074496 800148992