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44145648 = 2434231481
BaseRepresentation
bin1010100001100…
…1101111110000
310002001211110000
42220121233300
542300130043
64214110000
71044142341
oct250315760
9102054400
1044145648
1122a12308
121294b300
1391b87b1
145c120c8
153d202d3
hex2a19bf0

44145648 has 100 divisors (see below), whose sum is σ = 133415568. Its totient is φ = 14065920.

The previous prime is 44145641. The next prime is 44145653. The reversal of 44145648 is 84654144.

It is a happy number.

44145648 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 5 + 648 = 666.

44145648 is nontrivially palindromic in base 15.

44145648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29068 + ... + 30548.

Almost surely, 244145648 is an apocalyptic number.

44145648 is a gapful number since it is divisible by the number (48) 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 44145648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66707784).

44145648 is an abundant number, since it is smaller than the sum of its proper divisors (89269920).

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

44145648 is a wasteful number, since it uses less digits than its factorization.

44145648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1509 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 44145648 is about 6644.2191414793. The cubic root of 44145648 is about 353.4239410048.

The spelling of 44145648 in words is "forty-four million, one hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1481 1656 1863 2484 2962 3312 3726 4443 4968 5924 7452 8886 9936 11848 13329 14904 17772 23696 26658 29808 34063 35544 39987 53316 68126 71088 79974 102189 106632 119961 136252 159948 204378 213264 239922 272504 306567 319896 408756 479844 545008 613134 639792 817512 919701 959688 1226268 1635024 1839402 1919376 2452536 2759103 3678804 4905072 5518206 7357608 11036412 14715216 22072824 44145648