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44096940 = 22335127643
BaseRepresentation
bin1010100000110…
…1110110101100
310001222100122000
42220031312230
542242100230
64213052300
71043550336
oct250156654
9101870560
1044096940
1122989758
1212927090
13919c584
145bdc456
153d10b60
hex2a0ddac

44096940 has 96 divisors (see below), whose sum is σ = 138485760. Its totient is φ = 11648448.

The previous prime is 44096939. The next prime is 44096953. The reversal of 44096940 is 4969044.

44096940 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 junction number, because it is equal to n+sod(n) for n = 44096895 and 44096904.

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, 68259 + ... + 68901.

It is an arithmetic number, because the mean of its divisors is an integer number (1442560).

Almost surely, 244096940 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 44096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69242880).

44096940 is an abundant number, since it is smaller than the sum of its proper divisors (94388820).

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

44096940 is a wasteful number, since it uses less digits than its factorization.

44096940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44096940 is about 6640.5526878416. The cubic root of 44096940 is about 353.2939100036.

The spelling of 44096940 in words is "forty-four million, ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 643 762 1143 1270 1286 1524 1905 1929 2286 2540 2572 3215 3429 3810 3858 4572 5715 5787 6430 6858 7620 7716 9645 11430 11574 12860 13716 17145 17361 19290 22860 23148 28935 34290 34722 38580 57870 68580 69444 81661 86805 115740 163322 173610 244983 326644 347220 408305 489966 734949 816610 979932 1224915 1469898 1633220 2204847 2449830 2939796 3674745 4409694 4899660 7349490 8819388 11024235 14698980 22048470 44096940