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800400023 = 19236727337
BaseRepresentation
bin101111101101010…
…010001010010111
32001210002112102022
4233231102022113
53114400300043
6211231203355
725556200523
oct5755221227
92053075368
10800400023
11380894425
121a407655b
13c9a92ca7
1478430d83
154a405868
hex2fb52297

800400023 has 16 divisors (see below), whose sum is σ = 892312320. Its totient is φ = 714453696.

The previous prime is 800399993. The next prime is 800400043. The reversal of 800400023 is 320004008.

It is not a de Polignac number, because 800400023 - 222 = 796205719 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800399974 and 800400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800400043) 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 15 ways as a sum of consecutive naturals, for example, 15611 + ... + 42947.

It is an arithmetic number, because the mean of its divisors is an integer number (55769520).

Almost surely, 2800400023 is an apocalyptic number.

800400023 is a deficient number, since it is larger than the sum of its proper divisors (91912297).

800400023 is a wasteful number, since it uses less digits than its factorization.

800400023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27446.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 800400023 is about 28291.3418380960. The cubic root of 800400023 is about 928.4724694643.

The spelling of 800400023 in words is "eight hundred million, four hundred thousand, twenty-three".

Divisors: 1 19 23 67 437 1273 1541 27337 29279 519403 628751 1831579 11946269 34800001 42126317 800400023