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400009032 = 23325555681
BaseRepresentation
bin10111110101111…
…010011101001000
31000212200120020100
4113311322131020
51304400242112
6103405325400
712625010043
oct2765723510
91025616210
10400009032
11195881785
12b1b66860
1364b45747
143b1a7c5a
15251b62dc
hex17d7a748

400009032 has 24 divisors (see below), whose sum is σ = 1083357990. Its totient is φ = 133336320.

The previous prime is 400009019. The next prime is 400009063. The reversal of 400009032 is 230900004.

It can be written as a sum of positive squares in only one way, i.e., 339075396 + 60933636 = 18414^2 + 7806^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400008996 and 400009014.

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 5 ways as a sum of consecutive naturals, for example, 2777769 + ... + 2777912.

Almost surely, 2400009032 is an apocalyptic number.

It is an amenable number.

400009032 is an abundant number, since it is smaller than the sum of its proper divisors (683348958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400009032 is a wasteful number, since it uses less digits than its factorization.

400009032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555693 (or 5555686 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 400009032 is about 20000.2257987254. The cubic root of 400009032 is about 736.8118453818.

Adding to 400009032 its reverse (230900004), we get a palindrome (630909036).

The spelling of 400009032 in words is "four hundred million, nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5555681 11111362 16667043 22222724 33334086 44445448 50001129 66668172 100002258 133336344 200004516 400009032