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400124385 = 32533126863
BaseRepresentation
bin10111110110010…
…110100111100001
31000212220102110200
4113312112213201
51304412440020
6103412015413
712626000253
oct2766264741
91025812420
10400124385
11195950411
12b2001569
1364b860bb
143b1d7cd3
15251da590
hex17d969e1

400124385 has 24 divisors (see below), whose sum is σ = 695670144. Its totient is φ = 212747040.

The previous prime is 400124369. The next prime is 400124411. The reversal of 400124385 is 583421004.

It is not a de Polignac number, because 400124385 - 24 = 400124369 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 28326.

It is an arithmetic number, because the mean of its divisors is an integer number (28986256).

Almost surely, 2400124385 is an apocalyptic number.

400124385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400124385 is a deficient number, since it is larger than the sum of its proper divisors (295545759).

400124385 is a wasteful number, since it uses less digits than its factorization.

400124385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27205 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400124385 is about 20003.1093832934. The cubic root of 400124385 is about 736.8826648561.

Adding to 400124385 its reverse (583421004), we get a palindrome (983545389).

The spelling of 400124385 in words is "four hundred million, one hundred twenty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 331 993 1655 2979 4965 14895 26863 80589 134315 241767 402945 1208835 8891653 26674959 44458265 80024877 133374795 400124385