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44000040 = 2335731069
BaseRepresentation
bin1010011111011…
…0001100101000
310001210102201010
42213312030220
542231000130
64211023520
71042665000
oct247661450
9101712633
1044000040
1122922977
121289aba0
139167436
145bb5000
153ce20b0
hex29f6328

44000040 has 128 divisors (see below), whose sum is σ = 154080000. Its totient is φ = 10047744.

The previous prime is 44000027. The next prime is 44000069. The reversal of 44000040 is 4000044.

44000040 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 31 ways as a sum of consecutive naturals, for example, 40626 + ... + 41694.

It is an arithmetic number, because the mean of its divisors is an integer number (1203750).

Almost surely, 244000040 is an apocalyptic number.

44000040 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 44000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77040000).

44000040 is an abundant number, since it is smaller than the sum of its proper divisors (110079960).

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

44000040 is a wasteful number, since it uses less digits than its factorization.

44000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 44000040 is about 6633.2525958236. The cubic root of 44000040 is about 353.0349405128.

Adding to 44000040 its reverse (4000044), we get a palindrome (48000084).

The spelling of 44000040 in words is "forty-four million, forty", and thus it is an aban number and an eban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1069 1176 1372 1470 1715 1960 2058 2138 2744 2940 3207 3430 4116 4276 5145 5345 5880 6414 6860 7483 8232 8552 10290 10690 12828 13720 14966 16035 20580 21380 22449 25656 29932 32070 37415 41160 42760 44898 52381 59864 64140 74830 89796 104762 112245 128280 149660 157143 179592 209524 224490 261905 299320 314286 366667 419048 448980 523810 628572 733334 785715 897960 1047620 1100001 1257144 1466668 1571430 1833335 2095240 2200002 2933336 3142860 3666670 4400004 5500005 6285720 7333340 8800008 11000010 14666680 22000020 44000040