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4444132252 = 2277173113271
BaseRepresentation
bin1000010001110010…
…00001001110011100
3102110201102022100211
410020321001032130
533100144213002
62012553102204
7215062333540
oct41071011634
912421368324
104444132252
11198066237a
12a403b7964
1355a945671
14302325a20
151b0254dd7
hex108e4139c

4444132252 has 96 divisors (see below), whose sum is σ = 9251794944. Its totient is φ = 1828915200.

The previous prime is 4444132249. The next prime is 4444132261. The reversal of 4444132252 is 2522314444.

It is a super-2 number, since 2×44441322522 = 39500622946533183008, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16398877 + ... + 16399147.

It is an arithmetic number, because the mean of its divisors is an integer number (96372864).

Almost surely, 24444132252 is an apocalyptic number.

It is an amenable number.

4444132252 is an abundant number, since it is smaller than the sum of its proper divisors (4807662692).

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

4444132252 is a wasteful number, since it uses less digits than its factorization.

4444132252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its digits is 30720, while the sum is 31.

The square root of 4444132252 is about 66664.3251822142. The cubic root of 4444132252 is about 1644.1028853468.

Adding to 4444132252 its reverse (2522314444), we get a palindrome (6966446696).

The spelling of 4444132252 in words is "four billion, four hundred forty-four million, one hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 71 73 113 142 146 226 271 284 292 452 497 511 542 791 994 1022 1084 1582 1897 1988 2044 3164 3794 5183 7588 8023 8249 10366 16046 16498 19241 19783 20732 30623 32092 32996 36281 38482 39566 56161 57743 61246 72562 76964 79132 112322 115486 122492 134687 138481 145124 214361 224644 230972 269374 276962 428722 538748 553924 585679 857444 1171358 1404593 2174233 2235479 2342716 2809186 4099753 4348466 4470958 5618372 8199506 8696932 8941916 9832151 15219631 15648353 16399012 19664302 30439262 31296706 39328604 60878524 62593412 158719009 317438018 634876036 1111033063 2222066126 4444132252