Search a number
-
+
43149456 = 2433719751
BaseRepresentation
bin1010010010011…
…0100010010000
310000012012221000
42210212202100
542021240311
64140502000
71032523110
oct244464220
9100165830
1043149456
11223a1909
121254a900
138c2a22c
145a33040
153bc5056
hex2926890

43149456 has 160 divisors (see below), whose sum is σ = 149196800. Its totient is φ = 11664000.

The previous prime is 43149439. The next prime is 43149467. The reversal of 43149456 is 65494134.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43149456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57081 + ... + 57831.

It is an arithmetic number, because the mean of its divisors is an integer number (932480).

Almost surely, 243149456 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 43149456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74598400).

43149456 is an abundant number, since it is smaller than the sum of its proper divisors (106047344).

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

43149456 is a wasteful number, since it uses less digits than its factorization.

43149456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 43149456 is about 6568.8245523838. The cubic root of 43149456 is about 350.7452311515.

The spelling of 43149456 in words is "forty-three million, one hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 751 756 798 912 1008 1026 1064 1197 1368 1502 1512 1596 2052 2128 2253 2394 2736 3004 3024 3192 3591 4104 4506 4788 5257 6008 6384 6759 7182 8208 9012 9576 10514 12016 13518 14269 14364 15771 18024 19152 20277 21028 27036 28538 28728 31542 36048 40554 42056 42807 47313 54072 57076 57456 63084 81108 84112 85614 94626 99883 108144 114152 126168 128421 141939 162216 171228 189252 199766 228304 252336 256842 283878 299649 324432 342456 378504 385263 399532 513684 567756 599298 684912 757008 770526 799064 898947 1027368 1135512 1198596 1541052 1598128 1797894 2054736 2271024 2397192 2696841 3082104 3595788 4794384 5393682 6164208 7191576 10787364 14383152 21574728 43149456