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2444242032 = 243229220183
BaseRepresentation
bin1001000110110000…
…0010110001110000
320022100021100201200
42101230002301300
520001211221112
61042312331200
7114366500031
oct22154026160
96270240650
102444242032
111044790241
125826a3b00
132cc50927b
14192898a88
15e48b4cdc
hex91b02c70

2444242032 has 90 divisors (see below), whose sum is σ = 7084846392. Its totient is φ = 786613632.

The previous prime is 2444241971. The next prime is 2444242033. The reversal of 2444242032 is 2302424442.

It is a super-2 number, since 2×24442420322 = 11948638221990978048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444241987 and 2444242005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444242033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111013 + ... + 131195.

Almost surely, 22444242032 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 2444242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542423196).

2444242032 is an abundant number, since it is smaller than the sum of its proper divisors (4640604360).

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

2444242032 is a wasteful number, since it uses less digits than its factorization.

2444242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2444242032 is about 49439.2762082942. The cubic root of 2444242032 is about 1347.0428241536.

Adding to 2444242032 its reverse (2302424442), we get a palindrome (4746666474).

The spelling of 2444242032 in words is "two billion, four hundred forty-four million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1392 1682 2088 2523 3364 4176 5046 6728 7569 10092 13456 15138 20183 20184 30276 40366 40368 60549 60552 80732 121098 121104 161464 181647 242196 322928 363294 484392 585307 726588 968784 1170614 1453176 1755921 2341228 2906352 3511842 4682456 5267763 7023684 9364912 10535526 14047368 16973903 21071052 28094736 33947806 42142104 50921709 67895612 84284208 101843418 135791224 152765127 203686836 271582448 305530254 407373672 611060508 814747344 1222121016 2444242032