Search a number
-
+
40315044 = 223721123271
BaseRepresentation
bin1001100111001…
…0100010100100
32210212012211210
42121302202210
540310040134
64000031420
7666446400
oct231624244
983765753
1040315044
1120836320
1211602570
138477073
1454d6100
1538152e9
hex26728a4

40315044 has 144 divisors (see below), whose sum is σ = 125024256. Its totient is φ = 9979200.

The previous prime is 40315027. The next prime is 40315069. The reversal of 40315044 is 44051304.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40315044.

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 47 ways as a sum of consecutive naturals, for example, 148629 + ... + 148899.

It is an arithmetic number, because the mean of its divisors is an integer number (868224).

Almost surely, 240315044 is an apocalyptic number.

40315044 is a gapful number since it is divisible by the number (44) 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 40315044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128).

40315044 is an abundant number, since it is smaller than the sum of its proper divisors (84709212).

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

40315044 is a wasteful number, since it uses less digits than its factorization.

40315044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40315044 is about 6349.4128862439. The cubic root of 40315044 is about 342.8907051470.

Adding to 40315044 its reverse (44051304), we get a palindrome (84366348).

The spelling of 40315044 in words is "forty million, three hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 49 66 69 77 84 92 98 132 138 147 154 161 196 231 253 271 276 294 308 322 462 483 506 539 542 588 644 759 813 924 966 1012 1078 1084 1127 1518 1617 1626 1771 1897 1932 2156 2254 2981 3036 3234 3252 3381 3542 3794 4508 5313 5691 5962 6233 6468 6762 7084 7588 8943 10626 11382 11924 12397 12466 13279 13524 17886 18699 20867 21252 22764 24794 24932 26558 35772 37191 37398 39837 41734 43631 49588 53116 62601 68563 74382 74796 79674 83468 87262 125202 130893 137126 146069 148764 159348 174524 205689 250404 261786 274252 292138 305417 411378 438207 479941 523572 584276 610834 822756 876414 916251 959882 1221668 1439823 1752828 1832502 1919764 2879646 3359587 3665004 5759292 6719174 10078761 13438348 20157522 40315044