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40483440 = 2432559953
BaseRepresentation
bin1001101001101…
…1101001110000
32211011202211200
42122123221300
540330432230
64003411200
71001050344
oct232335160
984152750
1040483440
1120940898
1211683b00
1385058ca
14553b624
15384a160
hex269ba70

40483440 has 120 divisors (see below), whose sum is σ = 138406320. Its totient is φ = 10601472.

The previous prime is 40483423. The next prime is 40483453. The reversal of 40483440 is 4438404.

40483440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42004 + ... + 42956.

It is an arithmetic number, because the mean of its divisors is an integer number (1153386).

Almost surely, 240483440 is an apocalyptic number.

40483440 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 40483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69203160).

40483440 is an abundant number, since it is smaller than the sum of its proper divisors (97922880).

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

40483440 is a wasteful number, since it uses less digits than its factorization.

40483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40483440 is about 6362.6598211754. The cubic root of 40483440 is about 343.3674602916.

The spelling of 40483440 in words is "forty million, four hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 953 1062 1180 1416 1770 1906 2124 2360 2655 2832 2859 3540 3812 4248 4720 4765 5310 5718 7080 7624 8496 8577 9530 10620 11436 14160 14295 15248 17154 19060 21240 22872 28590 34308 38120 42480 42885 45744 56227 57180 68616 76240 85770 112454 114360 137232 168681 171540 224908 228720 281135 337362 343080 449816 506043 562270 674724 686160 843405 899632 1012086 1124540 1349448 1686810 2024172 2249080 2530215 2698896 3373620 4048344 4498160 5060430 6747240 8096688 10120860 13494480 20241720 40483440