Search a number
-
+
43990968 = 23371773211
BaseRepresentation
bin1010011111001…
…1111110111000
310001202222021010
42213303332320
542230202333
64210513520
71042626360
oct247637670
9101688233
1043990968
112291707a
12128958a0
139163278
145bb19a0
153cde563
hex29f3fb8

43990968 has 128 divisors (see below), whose sum is σ = 135544320. Its totient is φ = 11612160.

The previous prime is 43990967. The next prime is 43991027. The reversal of 43990968 is 86909934.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43990967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208383 + ... + 208593.

It is an arithmetic number, because the mean of its divisors is an integer number (1058940).

Almost surely, 243990968 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 43990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67772160).

43990968 is an abundant number, since it is smaller than the sum of its proper divisors (91553352).

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

43990968 is a wasteful number, since it uses less digits than its factorization.

43990968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 43990968 is about 6632.5687331531. The cubic root of 43990968 is about 353.0106757385.

It can be divided in two parts, 43 and 990968, that multiplied together give a palindrome (42611624).

The spelling of 43990968 in words is "forty-three million, nine hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 73 84 102 119 136 146 168 204 211 219 238 292 357 408 422 438 476 511 584 633 714 844 876 952 1022 1241 1266 1428 1477 1533 1688 1752 2044 2482 2532 2856 2954 3066 3587 3723 4088 4431 4964 5064 5908 6132 7174 7446 8687 8862 9928 10761 11816 12264 14348 14892 15403 17374 17724 21522 25109 26061 28696 29784 30806 34748 35448 43044 46209 50218 52122 61612 69496 75327 86088 92418 100436 104244 107821 123224 150654 184836 200872 208488 215642 261851 301308 323463 369672 431284 523702 602616 646926 785553 862568 1047404 1293852 1571106 1832957 2094808 2587704 3142212 3665914 5498871 6284424 7331828 10997742 14663656 21995484 43990968