Search a number
-
+
43530144 = 2537211307
BaseRepresentation
bin1010011000001…
…1011110100000
310000220120010120
42212003132200
542120431034
64153000240
71036000020
oct246033640
9100816116
1043530144
1122631929
12126b3080
1390315a8
145ad1a80
153c4cc49
hex29837a0

43530144 has 96 divisors (see below), whose sum is σ = 131636736. Its totient is φ = 12337920.

The previous prime is 43530133. The next prime is 43530161. The reversal of 43530144 is 44103534.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 141639 + ... + 141945.

It is an arithmetic number, because the mean of its divisors is an integer number (1371216).

Almost surely, 243530144 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 43530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65818368).

43530144 is an abundant number, since it is smaller than the sum of its proper divisors (88106592).

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

43530144 is a wasteful number, since it uses less digits than its factorization.

43530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 43530144 is about 6597.7377941231. The cubic root of 43530144 is about 351.7737009634.

Adding to 43530144 its reverse (44103534), we get a palindrome (87633678).

The spelling of 43530144 in words is "forty-three million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 307 336 422 614 633 672 844 921 1228 1266 1477 1688 1842 2149 2456 2532 2954 3376 3684 4298 4431 4912 5064 5908 6447 6752 7368 8596 8862 9824 10128 11816 12894 14736 17192 17724 20256 23632 25788 29472 34384 35448 47264 51576 64777 68768 70896 103152 129554 141792 194331 206304 259108 388662 453439 518216 777324 906878 1036432 1360317 1554648 1813756 2072864 2720634 3109296 3627512 5441268 6218592 7255024 10882536 14510048 21765072 43530144