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400012823 = 72101131617
BaseRepresentation
bin10111110101111…
…011011000010111
31000212200202102202
4113311323120113
51304400402243
6103405355115
712625024100
oct2765733027
91025622382
10400012823
11195884611
12b1b68a9b
1364b473a2
143b1a93a7
15251b74b8
hex17d7b617

400012823 has 24 divisors (see below), whose sum is σ = 474282864. Its totient is φ = 336336000.

The previous prime is 400012819. The next prime is 400012829. The reversal of 400012823 is 328210004.

It is not a de Polignac number, because 400012823 - 22 = 400012819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400012795 and 400012804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400012829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648011 + ... + 648627.

It is an arithmetic number, because the mean of its divisors is an integer number (19761786).

Almost surely, 2400012823 is an apocalyptic number.

400012823 is a deficient number, since it is larger than the sum of its proper divisors (74270041).

400012823 is a wasteful number, since it uses less digits than its factorization.

400012823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 400012823 is about 20000.3205724308. The cubic root of 400012823 is about 736.8141730333.

Adding to 400012823 its reverse (328210004), we get a palindrome (728222827).

It can be divided in two parts, 40001 and 2823, that added together give a palindrome (42824).

The spelling of 400012823 in words is "four hundred million, twelve thousand, eight hundred twenty-three".

Divisors: 1 7 49 101 131 617 707 917 4319 4949 6419 13231 30233 62317 80827 92617 436219 565789 648319 3053533 3960523 8163527 57144689 400012823