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400123889 = 11427329
BaseRepresentation
bin10111110110010…
…110011111110001
31000212220101210022
4113312112133301
51304412431024
6103412013225
712625665644
oct2766263761
91025811708
10400123889
11195950000
12b2001215
1364b85ac9
143b1d7a5b
15251da35e
hex17d967f1

400123889 has 10 divisors (see below), whose sum is σ = 440149650. Its totient is φ = 363735680.

The previous prime is 400123783. The next prime is 400123897. The reversal of 400123889 is 988321004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 338265664 + 61858225 = 18392^2 + 7865^2 .

It is not a de Polignac number, because 400123889 - 224 = 383346673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400123289) 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 9 ways as a sum of consecutive naturals, for example, 977 + ... + 28305.

It is an arithmetic number, because the mean of its divisors is an integer number (44014965).

Almost surely, 2400123889 is an apocalyptic number.

It is an amenable number.

400123889 is a deficient number, since it is larger than the sum of its proper divisors (40025761).

400123889 is an frugal number, since it uses more digits than its factorization.

400123889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27373 (or 27340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 400123889 is about 20003.0969852171. The cubic root of 400123889 is about 736.8823603724.

The spelling of 400123889 in words is "four hundred million, one hundred twenty-three thousand, eight hundred eighty-nine".

Divisors: 1 11 121 1331 14641 27329 300619 3306809 36374899 400123889