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44431040 = 265433229
BaseRepresentation
bin1010100101111…
…1011011000000
310002121022221002
42221133123000
542333243130
64224151132
71046441363
oct251373300
9102538832
1044431040
1123097775
1212a684a8
139288674
145c880da
153d79b45
hex2a5f6c0

44431040 has 56 divisors (see below), whose sum is σ = 108295440. Its totient is φ = 17353728.

The previous prime is 44431039. The next prime is 44431061. The reversal of 44431040 is 4013444.

44431040 = T1416 + T1417 + ... + T1458.

44431040 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 (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12146 + ... + 15374.

Almost surely, 244431040 is an apocalyptic number.

44431040 is a gapful number since it is divisible by the number (40) 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 44431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54147720).

44431040 is an abundant number, since it is smaller than the sum of its proper divisors (63864400).

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

44431040 is a wasteful number, since it uses less digits than its factorization.

44431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44431040 is about 6665.6612575198. The cubic root of 44431040 is about 354.1839086108.

Adding to 44431040 its reverse (4013444), we get a palindrome (48444484).

The spelling of 44431040 in words is "forty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3229 3440 6458 6880 12916 13760 16145 25832 32290 51664 64580 103328 129160 138847 206656 258320 277694 516640 555388 694235 1033280 1110776 1388470 2221552 2776940 4443104 5553880 8886208 11107760 22215520 44431040