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44168640 = 2635139331
BaseRepresentation
bin1010100001111…
…1010111000000
310002002222222120
42220133113000
542301344030
64214404240
71044266355
oct250372700
9102088876
1044168640
1122a2860a
1212960680
1391c60b9
145c1a62c
153d27010
hex2a1f5c0

44168640 has 112 divisors (see below), whose sum is σ = 141671040. Its totient is φ = 11658240.

The previous prime is 44168627. The next prime is 44168651. The reversal of 44168640 is 4686144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133275 + ... + 133605.

It is an arithmetic number, because the mean of its divisors is an integer number (1264920).

Almost surely, 244168640 is an apocalyptic number.

44168640 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 44168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70835520).

44168640 is an abundant number, since it is smaller than the sum of its proper divisors (97502400).

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

44168640 is a wasteful number, since it uses less digits than its factorization.

44168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 44168640 is about 6645.9491421467. The cubic root of 44168640 is about 353.4852872779.

The spelling of 44168640 in words is "forty-four million, one hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 331 417 480 556 662 695 834 960 993 1112 1324 1390 1655 1668 1986 2085 2224 2648 2780 3310 3336 3972 4170 4448 4965 5296 5560 6620 6672 7944 8340 8896 9930 10592 11120 13240 13344 15888 16680 19860 21184 22240 26480 26688 31776 33360 39720 44480 46009 52960 63552 66720 79440 92018 105920 133440 138027 158880 184036 230045 276054 317760 368072 460090 552108 690135 736144 920180 1104216 1380270 1472288 1840360 2208432 2760540 2944576 3680720 4416864 5521080 7361440 8833728 11042160 14722880 22084320 44168640