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20449944 = 23322353233
BaseRepresentation
bin100111000000…
…0101010011000
31102110222001100
41032000222120
520213344234
62010151400
7335551554
oct116005230
942428040
1020449944
11105a8389
126a22560
134310178
142a04864
151bde399
hex1380a98

20449944 has 96 divisors (see below), whose sum is σ = 59136480. Its totient is φ = 6369792.

The previous prime is 20449943. The next prime is 20449951. The reversal of 20449944 is 44994402.

20449944 = T132 + T133 + ... + T499.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20449899 and 20449908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20449943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87652 + ... + 87884.

It is an arithmetic number, because the mean of its divisors is an integer number (616005).

Almost surely, 220449944 is an apocalyptic number.

20449944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20449944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568240).

20449944 is an abundant number, since it is smaller than the sum of its proper divisors (38686536).

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

20449944 is a wasteful number, since it uses less digits than its factorization.

20449944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20449944 is about 4522.1614301128. The cubic root of 20449944 is about 273.4622446984.

The spelling of 20449944 in words is "twenty million, four hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 233 276 318 414 424 466 477 552 636 699 828 932 954 1219 1272 1398 1656 1864 1908 2097 2438 2796 3657 3816 4194 4876 5359 5592 7314 8388 9752 10718 10971 12349 14628 16077 16776 21436 21942 24698 29256 32154 37047 42872 43884 48231 49396 64308 74094 87768 96462 98792 111141 128616 148188 192924 222282 284027 296376 385848 444564 568054 852081 889128 1136108 1704162 2272216 2556243 3408324 5112486 6816648 10224972 20449944