Search a number
-
+
43879968 = 25381119
BaseRepresentation
bin1010011101100…
…0111000100000
310001120100000000
42213120320200
542213124333
64204300000
71041654636
oct247307040
9101510000
1043879968
1122850740
1212841600
1391248a2
145b83356
153cbb713
hex29d8e20

43879968 has 216 divisors, whose sum is σ = 148795920. Its totient is φ = 12597120.

The previous prime is 43879961. The next prime is 43879981. The reversal of 43879968 is 86997834.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (43879961) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2309463 + ... + 2309481.

It is an arithmetic number, because the mean of its divisors is an integer number (688870).

Almost surely, 243879968 is an apocalyptic number.

43879968 is a gapful number since it is divisible by the number (48) 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 43879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74397960).

43879968 is an abundant number, since it is smaller than the sum of its proper divisors (104915952).

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

43879968 is an equidigital number, since it uses as much as digits as its factorization.

43879968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 43879968 is about 6624.1956492845. The cubic root of 43879968 is about 352.7135148275.

The spelling of 43879968 in words is "forty-three million, eight hundred seventy-nine thousand, nine hundred sixty-eight".