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800148041 = 71161170353
BaseRepresentation
bin101111101100010…
…100101001001001
32001202121201202122
4233230110221021
53114314214131
6211221541025
725554101060
oct5754245111
92052551678
10800148041
11380732080
121a3b74775
13c9a053a4
14783a71d7
154a3a5d7b
hex2fb14a49

800148041 has 16 divisors (see below), whose sum is σ = 1013947008. Its totient is φ = 613267200.

The previous prime is 800148031. The next prime is 800148043. The reversal of 800148041 is 140841008.

800148041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 800148041 - 218 = 799885897 is a prime.

It is a super-2 number, since 2×8001480412 = 1280473775032275362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 800148041.

It is not an unprimeable number, because it can be changed into a prime (800148043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80480 + ... + 89873.

It is an arithmetic number, because the mean of its divisors is an integer number (63371688).

Almost surely, 2800148041 is an apocalyptic number.

It is an amenable number.

800148041 is a deficient number, since it is larger than the sum of its proper divisors (213798967).

800148041 is a wasteful number, since it uses less digits than its factorization.

800148041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170432.

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 800148041 is about 28286.8881462772. Note that the first 3 decimals coincide. The cubic root of 800148041 is about 928.3750253118.

Adding to 800148041 its reverse (140841008), we get a palindrome (940989049).

It can be divided in two parts, 800 and 148041, that added together give a palindrome (148841).

The spelling of 800148041 in words is "eight hundred million, one hundred forty-eight thousand, forty-one".

Divisors: 1 7 11 61 77 427 671 4697 170353 1192471 1873883 10391533 13117181 72740731 114306863 800148041