Search a number
-
+
43452920 = 2357311499
BaseRepresentation
bin1010010111000…
…0100111111000
310000202122012102
42211300213320
542110443140
64151202532
71035225620
oct245604770
9100678172
1043452920
1122589905
1212676448
1390053b4
145ab1880
153c34e15
hex29709f8

43452920 has 64 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 14820480.

The previous prime is 43452889. The next prime is 43452961. The reversal of 43452920 is 2925434.

43452920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86831 + ... + 87329.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 243452920 is an apocalyptic number.

43452920 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 43452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160000).

43452920 is an abundant number, since it is smaller than the sum of its proper divisors (68867080).

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

43452920 is a wasteful number, since it uses less digits than its factorization.

43452920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 43452920 is about 6591.8828873092. The cubic root of 43452920 is about 351.5655582088.

The spelling of 43452920 in words is "forty-three million, four hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 499 622 998 1244 1555 1996 2177 2488 2495 3110 3493 3992 4354 4990 6220 6986 8708 9980 10885 12440 13972 17416 17465 19960 21770 27944 34930 43540 69860 87080 139720 155189 310378 620756 775945 1086323 1241512 1551890 2172646 3103780 4345292 5431615 6207560 8690584 10863230 21726460 43452920