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400894048 = 25231015393
BaseRepresentation
bin10111111001010…
…010100001100000
31000221100112020201
4113321102201200
51310112102143
6103440314544
712635354212
oct2771224140
91027315221
10400894048
111963266a5
12b2312a54
1365095519
143b3585b2
15252dd64d
hex17e52860

400894048 has 48 divisors (see below), whose sum is σ = 831884256. Its totient is φ = 189798400.

The previous prime is 400894037. The next prime is 400894049. The reversal of 400894048 is 840498004.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 400893998 and 400894016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400894049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71640 + ... + 77032.

It is an arithmetic number, because the mean of its divisors is an integer number (17330922).

Almost surely, 2400894048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400894048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415942128).

400894048 is an abundant number, since it is smaller than the sum of its proper divisors (430990208).

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

400894048 is a wasteful number, since it uses less digits than its factorization.

400894048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 400894048 is about 20022.3387245347. The cubic root of 400894048 is about 737.3548414109.

The spelling of 400894048 in words is "four hundred million, eight hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 101 184 202 368 404 736 808 1616 2323 3232 4646 5393 9292 10786 18584 21572 37168 43144 74336 86288 124039 172576 248078 496156 544693 992312 1089386 1984624 2178772 3969248 4357544 8715088 12527939 17430176 25055878 50111756 100223512 200447024 400894048