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44516628 = 2235132271
BaseRepresentation
bin1010100111010…
…0010100010100
310002202200100000
42221310110110
542344013003
64230051300
71050246042
oct251642424
9102680300
1044516628
1123146002
1212aa9b30
1392b8600
145cab392
153d951a3
hex2a74514

44516628 has 108 divisors (see below), whose sum is σ = 126829248. Its totient is φ = 13646880.

The previous prime is 44516617. The next prime is 44516629. The reversal of 44516628 is 82661544.

It is a tau number, because it is divible by the number of its divisors (108).

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 = 44516592 and 44516601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44516629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164133 + ... + 164403.

Almost surely, 244516628 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 44516628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63414624).

44516628 is an abundant number, since it is smaller than the sum of its proper divisors (82312620).

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

44516628 is a wasteful number, since it uses less digits than its factorization.

44516628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 44516628 is about 6672.0782369514. The cubic root of 44516628 is about 354.4111855214.

The spelling of 44516628 in words is "forty-four million, five hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 271 324 338 351 468 486 507 542 676 702 813 972 1014 1053 1084 1404 1521 1626 2028 2106 2439 3042 3159 3252 3523 4212 4563 4878 6084 6318 7046 7317 9126 9756 10569 12636 13689 14092 14634 18252 21138 21951 27378 29268 31707 41067 42276 43902 45799 54756 63414 65853 82134 87804 91598 95121 126828 131706 137397 164268 183196 190242 263412 274794 285363 380484 412191 549588 570726 824382 856089 1141452 1236573 1648764 1712178 2473146 3424356 3709719 4946292 7419438 11129157 14838876 22258314 44516628