Search a number
-
+
800310952 = 23731345659
BaseRepresentation
bin101111101100111…
…100011010101000
32001202221000020101
4233230330122220
53114334422302
6211225235144
725555350040
oct5754743250
92052830211
10800310952
11380833511
121a4032ab4
13c9a6159c
147840a720
154a3d9287
hex2fb3c6a8

800310952 has 32 divisors (see below), whose sum is σ = 1720468800. Its totient is φ = 341887104.

The previous prime is 800310949. The next prime is 800310961. The reversal of 800310952 is 259013008.

It is a super-2 number, since 2×8003109522 = 1280995239782292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 800310952.

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 7 ways as a sum of consecutive naturals, for example, 5302 + ... + 40357.

It is an arithmetic number, because the mean of its divisors is an integer number (53764650).

Almost surely, 2800310952 is an apocalyptic number.

It is an amenable number.

800310952 is an abundant number, since it is smaller than the sum of its proper divisors (920157848).

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

800310952 is a wasteful number, since it uses less digits than its factorization.

800310952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45985 (or 45981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 800310952 is about 28289.7676201131. The cubic root of 800310952 is about 928.4380270868.

The spelling of 800310952 in words is "eight hundred million, three hundred ten thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 313 626 1252 2191 2504 4382 8764 17528 45659 91318 182636 319613 365272 639226 1278452 2556904 14291267 28582534 57165068 100038869 114330136 200077738 400155476 800310952