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44005038 = 23721121237
BaseRepresentation
bin1010011111011…
…1011010101110
310001210200120020
42213313122232
542231130123
64211103010
71043015400
oct247673256
9101720506
1044005038
1122926700
12128a1a66
1391697ac
145bb6b70
153ce37e3
hex29f76ae

44005038 has 72 divisors (see below), whose sum is σ = 112623336. Its totient is φ = 11420640.

The previous prime is 44004971. The next prime is 44005043. The reversal of 44005038 is 83050044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44004999 and 44005017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34956 + ... + 36192.

It is an arithmetic number, because the mean of its divisors is an integer number (1564213).

Almost surely, 244005038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44005038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56311668).

44005038 is an abundant number, since it is smaller than the sum of its proper divisors (68618298).

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

44005038 is a wasteful number, since it uses less digits than its factorization.

44005038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 44005038 is about 6633.6293233795. The cubic root of 44005038 is about 353.0483071812.

The spelling of 44005038 in words is "forty-four million, five thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1237 1617 1694 2474 2541 3234 3711 5082 5929 7422 8659 11858 13607 17318 17787 25977 27214 35574 40821 51954 60613 81642 95249 121226 149677 181839 190498 285747 299354 363678 449031 571494 666743 898062 1047739 1333486 2000229 2095478 3143217 4000458 6286434 7334173 14668346 22002519 44005038