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44434944 = 29329643
BaseRepresentation
bin1010100110000…
…0011000000000
310002121112021200
42221200120000
542333404234
64224221200
71046455641
oct251403000
9102545250
1044434944
112309a6a4
1212a6a800
13928a388
145c896c8
153d7ad99
hex2a60600

44434944 has 60 divisors (see below), whose sum is σ = 128255556. Its totient is φ = 14810112.

The previous prime is 44434933. The next prime is 44434979. The reversal of 44434944 is 44943444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44434899 and 44434908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214 + ... + 9429.

Almost surely, 244434944 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 44434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64127778).

44434944 is an abundant number, since it is smaller than the sum of its proper divisors (83820612).

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

44434944 is an equidigital number, since it uses as much as digits as its factorization.

44434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667 (or 9648 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 44434944 is about 6665.9540952515. The cubic root of 44434944 is about 354.1942819405.

The spelling of 44434944 in words is "forty-four million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9643 19286 28929 38572 57858 77144 86787 115716 154288 173574 231432 308576 347148 462864 617152 694296 925728 1234304 1388592 1851456 2468608 2777184 3702912 4937216 5554368 7405824 11108736 14811648 22217472 44434944