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20464444 = 227111319269
BaseRepresentation
bin100111000010…
…0001100111100
31102111200221101
41032010030330
520214330234
62010342444
7335642050
oct116041474
942450841
1020464444
1110608270
126a2aa24
134316950
142a09c60
151be3814
hex138433c

20464444 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 6946560.

The previous prime is 20464439. The next prime is 20464471. The reversal of 20464444 is 44446402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75942 + ... + 76210.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 220464444 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 20464444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

20464444 is an abundant number, since it is smaller than the sum of its proper divisors (30338756).

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

20464444 is a wasteful number, since it uses less digits than its factorization.

20464444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 20464444 is about 4523.7643616793. The cubic root of 20464444 is about 273.5268620838.

It can be divided in two parts, 20 and 464444, that added together give a palindrome (464464).

The spelling of 20464444 in words is "twenty million, four hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 269 286 308 364 418 494 532 538 572 836 988 1001 1076 1463 1729 1883 2002 2717 2926 2959 3458 3497 3766 4004 5111 5434 5852 5918 6916 6994 7532 10222 10868 11836 13988 19019 20444 20713 24479 35777 38038 38467 41426 48958 56221 66443 71554 76076 76934 82852 97916 112442 132886 143108 153868 224884 265772 269269 393547 465101 538538 730873 787094 930202 1077076 1461746 1574188 1860404 2923492 5116111 10232222 20464444