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43225920 = 263355003
BaseRepresentation
bin1010010011100…
…1001101000000
310000100002211000
42210321031000
542031212140
64142252000
71033262043
oct244711500
9100302730
1043225920
1122444301
1212587000
138c55c8a
145a52c5a
153bdca30
hex2939340

43225920 has 112 divisors (see below), whose sum is σ = 152521920. Its totient is φ = 11524608.

The previous prime is 43225913. The next prime is 43225933. The reversal of 43225920 is 2952234.

It is a super-3 number, since 3×432259203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6139 + ... + 11141.

Almost surely, 243225920 is an apocalyptic number.

43225920 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 43225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260960).

43225920 is an abundant number, since it is smaller than the sum of its proper divisors (109296000).

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

43225920 is a wasteful number, since it uses less digits than its factorization.

43225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 43225920 is about 6574.6421955875. The cubic root of 43225920 is about 350.9522909807.

The spelling of 43225920 in words is "forty-three million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 5003 8640 10006 15009 20012 25015 30018 40024 45027 50030 60036 75045 80048 90054 100060 120072 135081 150090 160096 180108 200120 225135 240144 270162 300180 320192 360216 400240 450270 480288 540324 600360 675405 720432 800480 900540 960576 1080648 1200720 1350810 1440864 1600960 1801080 2161296 2401440 2701620 2881728 3602160 4322592 4802880 5403240 7204320 8645184 10806480 14408640 21612960 43225920