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44005332 = 22372671117
BaseRepresentation
bin1010011111011…
…1011111010100
310001210200222010
42213313133110
542231132312
64211104220
71043016300
oct247673724
9101720863
1044005332
1122926948
12128a2070
139169977
145bb6d00
153ce393c
hex29f77d4

44005332 has 72 divisors (see below), whose sum is σ = 121334304. Its totient is φ = 12374208.

The previous prime is 44005331. The next prime is 44005363. The reversal of 44005332 is 23350044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 44005299 and 44005308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44005331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38838 + ... + 39954.

Almost surely, 244005332 is an apocalyptic number.

44005332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44005332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60667152).

44005332 is an abundant number, since it is smaller than the sum of its proper divisors (77328972).

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

44005332 is a wasteful number, since it uses less digits than its factorization.

44005332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 44005332 is about 6633.6514831577. The cubic root of 44005332 is about 353.0490934243.

Adding to 44005332 its reverse (23350044), we get a palindrome (67355376).

The spelling of 44005332 in words is "forty-four million, five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1117 1407 1876 2234 2814 3283 3351 4468 5628 6566 6702 7819 9849 13132 13404 15638 19698 23457 31276 39396 46914 54733 74839 93828 109466 149678 164199 218932 224517 299356 328398 449034 523873 656796 898068 1047746 1571619 2095492 3143238 3667111 6286476 7334222 11001333 14668444 22002666 44005332