Search a number
-
+
43921980 = 22335163499
BaseRepresentation
bin1010011110001…
…1001000111100
310001122110122000
42213203020330
542221000410
64205222300
71042221264
oct247431074
9101573560
1043921980
112287a263
1212861990
13913aa4b
145b947a4
153cc8dc0
hex29e323c

43921980 has 96 divisors (see below), whose sum is σ = 137760000. Its totient is φ = 11617344.

The previous prime is 43921937. The next prime is 43921987. The reversal of 43921980 is 8912934.

43921980 is a `hidden beast` number, since 439 + 219 + 8 + 0 = 666.

43921980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43921987) 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 31 ways as a sum of consecutive naturals, for example, 87771 + ... + 88269.

It is an arithmetic number, because the mean of its divisors is an integer number (1435000).

Almost surely, 243921980 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 43921980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880000).

43921980 is an abundant number, since it is smaller than the sum of its proper divisors (93838020).

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

43921980 is a wasteful number, since it uses less digits than its factorization.

43921980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 43921980 is about 6627.3659926097. The cubic root of 43921980 is about 352.8260450946.

The spelling of 43921980 in words is "forty-three million, nine hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 499 540 652 815 978 998 1467 1497 1630 1956 1996 2445 2495 2934 2994 3260 4401 4491 4890 4990 5868 5988 7335 7485 8802 8982 9780 9980 13473 14670 14970 17604 17964 22005 22455 26946 29340 29940 44010 44910 53892 67365 81337 88020 89820 134730 162674 244011 269460 325348 406685 488022 732033 813370 976044 1220055 1464066 1626740 2196099 2440110 2928132 3660165 4392198 4880220 7320330 8784396 10980495 14640660 21960990 43921980