Search a number
-
+
800247096 = 23321123197223
BaseRepresentation
bin101111101100101…
…100110100111000
32001202210202122100
4233230230310320
53114330401341
6211224023400
725554662625
oct5754546470
92052722570
10800247096
1138079a540
121a4001b60
13c9a3b4bc
14783d134c
154a3c53b6
hex2fb2cd38

800247096 has 192 divisors, whose sum is σ = 2490808320. Its totient is φ = 229743360.

The previous prime is 800247089. The next prime is 800247101. The reversal of 800247096 is 690742008.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 800247096.

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 47 ways as a sum of consecutive naturals, for example, 3588441 + ... + 3588663.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2800247096 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 800247096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

800247096 is an abundant number, since it is smaller than the sum of its proper divisors (1690561224).

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

800247096 is a wasteful number, since it uses less digits than its factorization.

800247096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 800247096 is about 28288.6389916518. The cubic root of 800247096 is about 928.4133333869.

The spelling of 800247096 in words is "eight hundred million, two hundred forty-seven thousand, ninety-six".