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44687000449 = 721322321012
BaseRepresentation
bin101001100111100011…
…011000001110000001
311021100022110211101201
4221213203120032001
51213004333003244
632310125301201
73141246144100
oct514743301601
9137308424351
1044687000449
1117a51712933
1287b1704801
1342a2111400
14223cc74037
151268212ad4
hexa678d8381

44687000449 has 81 divisors (see below), whose sum is σ = 59431237929. Its totient is φ = 33484651200.

The previous prime is 44687000447. The next prime is 44687000473. The reversal of 44687000449 is 94400078644.

The square root of 44687000449 is 211393.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1685513025 + 43001487424 = 41055^2 + 207368^2 .

It is not a de Polignac number, because 44687000449 - 21 = 44687000447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44687000399 and 44687000408.

It is not an unprimeable number, because it can be changed into a prime (44687000441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 442445499 + ... + 442445599.

Almost surely, 244687000449 is an apocalyptic number.

44687000449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44687000449 is the 211393-rd square number.

44687000449 is the 105697-th centered octagonal number.

It is an amenable number.

44687000449 is a deficient number, since it is larger than the sum of its proper divisors (14744237480).

44687000449 is a wasteful number, since it uses less digits than its factorization.

44687000449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 44687000449 in words is "forty-four billion, six hundred eighty-seven million, four hundred forty-nine", and thus it is an aban number.

Divisors: 1 7 13 23 49 91 101 161 169 299 529 637 707 1127 1183 1313 2093 2323 3703 3887 4949 6877 8281 9191 10201 14651 16261 17069 25921 27209 30199 48139 53429 64337 71407 89401 113827 119483 132613 190463 211393 234623 336973 374003 392587 499849 625807 694577 836381 928291 1479751 1642361 1723969 2618021 2748109 3050099 4380649 4862039 5396329 6498037 9029501 11496527 12067783 19236763 21350693 34034273 37774303 39651287 63206507 70152277 84474481 149454851 264420121 277559009 442445549 491065939 911979601 1942913063 3437461573 6383857207 44687000449