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44445072 = 24371731251
BaseRepresentation
bin1010100110001…
…0110110010000
310002122001011210
42221202312100
542334220242
64224340120
71046530320
oct251426620
9102561153
1044445072
11230a7271
1212a74640
139291b79
145c8d280
153d7dd9c
hex2a62d90

44445072 has 160 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 11520000.

The previous prime is 44445067. The next prime is 44445073. The reversal of 44445072 is 27054444.

It is not an unprimeable number, because it can be changed into a prime (44445073) 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 31 ways as a sum of consecutive naturals, for example, 176947 + ... + 177197.

Almost surely, 244445072 is an apocalyptic number.

44445072 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 44445072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

44445072 is an abundant number, since it is smaller than the sum of its proper divisors (99545712).

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

44445072 is a wasteful number, since it uses less digits than its factorization.

44445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 44445072 is about 6666.7137331672. The cubic root of 44445072 is about 354.2211902462.

The spelling of 44445072 in words is "forty-four million, four hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 84 93 102 112 119 124 136 168 186 204 217 238 248 251 272 336 357 372 408 434 476 496 502 527 651 714 744 753 816 868 952 1004 1054 1302 1428 1488 1506 1581 1736 1757 1904 2008 2108 2604 2856 3012 3162 3472 3514 3689 4016 4216 4267 5208 5271 5712 6024 6324 7028 7378 7781 8432 8534 10416 10542 11067 12048 12648 12801 14056 14756 15562 17068 21084 22134 23343 25296 25602 28112 29512 29869 31124 34136 42168 44268 46686 51204 54467 59024 59738 62248 68272 84336 88536 89607 93372 102408 108934 119476 124496 132277 163401 177072 179214 186744 204816 217868 238952 264554 326802 358428 373488 396831 435736 477904 529108 653604 716856 793662 871472 925939 1058216 1307208 1433712 1587324 1851878 2116432 2614416 2777817 3174648 3703756 5555634 6349296 7407512 11111268 14815024 22222536 44445072