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43379968 = 28414133
BaseRepresentation
bin1010010101111…
…0110100000000
310000121221010111
42211132310000
542101124333
64145441104
71034503132
oct245366400
9100557114
1043379968
112253a015
1212640194
138cab128
145a93052
153c1d4cd
hex295ed00

43379968 has 36 divisors (see below), whose sum is σ = 88723908. Its totient is φ = 21155840.

The previous prime is 43379957. The next prime is 43379977. The reversal of 43379968 is 86997334.

It can be written as a sum of positive squares in 2 ways, for example, as 14992384 + 28387584 = 3872^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8430 + ... + 12562.

It is an arithmetic number, because the mean of its divisors is an integer number (2464553).

Almost surely, 243379968 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 43379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44361954).

43379968 is an abundant number, since it is smaller than the sum of its proper divisors (45343940).

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

43379968 is an equidigital number, since it uses as much as digits as its factorization.

43379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4176 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The square root of 43379968 is about 6586.3470907628. The cubic root of 43379968 is about 351.3687031840.

The spelling of 43379968 in words is "forty-three million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 4133 5248 8266 10496 16532 33064 66128 132256 169453 264512 338906 529024 677812 1058048 1355624 2711248 5422496 10844992 21689984 43379968