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4014444 = 223747791
BaseRepresentation
bin1111010100000101101100
321112221210010
433110011230
52011430234
6222013220
746056630
oct17240554
97487703
104014444
1122a2125
121417210
13aa7315
14766dc0
155446e9
hex3d416c

4014444 has 24 divisors (see below), whose sum is σ = 10705408. Its totient is φ = 1146960.

The previous prime is 4014421. The next prime is 4014449. The reversal of 4014444 is 4444104.

4014444 = T37 + T38 + ... + T288.

4014444 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40144442 = 32231521258272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4014444.

It is not an unprimeable number, because it can be changed into a prime (4014449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23812 + ... + 23979.

Almost surely, 24014444 is an apocalyptic number.

It is an amenable number.

4014444 is an abundant number, since it is smaller than the sum of its proper divisors (6690964).

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

4014444 is a wasteful number, since it uses less digits than its factorization.

4014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47805 (or 47803 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4014444 is about 2003.6077460421. The cubic root of 4014444 is about 158.9309458456.

Adding to 4014444 its reverse (4444104), we get a palindrome (8458548).

The spelling of 4014444 in words is "four million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 47791 95582 143373 191164 286746 334537 573492 669074 1003611 1338148 2007222 4014444