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43120096 = 253779461
BaseRepresentation
bin1010010001111…
…1010111100000
310000010201122121
42210133113200
542014320341
64140114024
71032341365
oct244372740
9100121577
1043120096
1122381848
1212535914
138c19a66
145a2646c
153bbb4d1
hex291f5e0

43120096 has 48 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 20666880.

The previous prime is 43120093. The next prime is 43120097. The reversal of 43120096 is 69002134.

43120096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 43120096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43120093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 93306 + ... + 93766.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 243120096 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 43120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120).

43120096 is an abundant number, since it is smaller than the sum of its proper divisors (45362144).

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

43120096 is a wasteful number, since it uses less digits than its factorization.

43120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 43120096 is about 6566.5893734876. The cubic root of 43120096 is about 350.6656610752.

The spelling of 43120096 in words is "forty-three million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 296 316 461 592 632 922 1184 1264 1844 2528 2923 3688 5846 7376 11692 14752 17057 23384 34114 36419 46768 68228 72838 93536 136456 145676 272912 291352 545824 582704 1165408 1347503 2695006 5390012 10780024 21560048 43120096