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400088444 = 22714288873
BaseRepresentation
bin10111110110001…
…101110101111100
31000212211121011112
4113312031311330
51304410312234
6103411141152
712625460420
oct2766156574
91025747145
10400088444
11195926408
12b1ba47b8
1364b72932
143b1c8b80
15251ceace
hex17d8dd7c

400088444 has 12 divisors (see below), whose sum is σ = 800176944. Its totient is φ = 171466464.

The previous prime is 400088443. The next prime is 400088461. The reversal of 400088444 is 444880004.

It is a happy number.

400088444 is an admirable number.

It is a super-2 number, since 2×4000884442 = 320141526044682272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400088444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400088443) 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 3 ways as a sum of consecutive naturals, for example, 7144409 + ... + 7144464.

It is an arithmetic number, because the mean of its divisors is an integer number (66681412).

Almost surely, 2400088444 is an apocalyptic number.

It is an amenable number.

400088444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

400088444 is a wasteful number, since it uses less digits than its factorization.

400088444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288884 (or 14288882 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 400088444 is about 20002.2109777894. The cubic root of 400088444 is about 736.8606008064.

The spelling of 400088444 in words is "four hundred million, eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 14288873 28577746 57155492 100022111 200044222 400088444