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40416444 = 22321122679
BaseRepresentation
bin1001101000101…
…1010010111100
32211001100221100
42122023102330
540321311234
64002133100
71000351125
oct232132274
984040840
1040416444
11208a5522
1211651190
1384b1273
14552104c
153835399
hex268b4bc

40416444 has 18 divisors (see below), whose sum is σ = 102163880. Its totient is φ = 13472136.

The previous prime is 40416427. The next prime is 40416461. The reversal of 40416444 is 44461404.

40416444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40416427) and next prime (40416461).

It is a tau number, because it is divible by the number of its divisors (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 561304 + ... + 561375.

Almost surely, 240416444 is an apocalyptic number.

It is an amenable number.

40416444 is an abundant number, since it is smaller than the sum of its proper divisors (61747436).

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

40416444 is a wasteful number, since it uses less digits than its factorization.

40416444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122689 (or 1122684 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40416444 is about 6357.3928618578. The cubic root of 40416444 is about 343.1779428992.

Adding to 40416444 its reverse (44461404), we get a palindrome (84877848).

The spelling of 40416444 in words is "forty million, four hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1122679 2245358 3368037 4490716 6736074 10104111 13472148 20208222 40416444