Search a number
-
+
40064112 = 2433118431
BaseRepresentation
bin1001100011010…
…1010001110000
32210101110122000
42120311101300
540224022422
63550414000
7664352664
oct230652160
983343560
1040064112
1120684840
1211501300
1383b9a9a
14546c8a4
1537b5cac
hex2635470

40064112 has 80 divisors (see below), whose sum is σ = 125468160. Its totient is φ = 12139200.

The previous prime is 40064099. The next prime is 40064113. The reversal of 40064112 is 21146004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40064113) by changing a digit.

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, 537 + ... + 8967.

It is an arithmetic number, because the mean of its divisors is an integer number (1568352).

Almost surely, 240064112 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 40064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

40064112 is an abundant number, since it is smaller than the sum of its proper divisors (85404048).

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

40064112 is a wasteful number, since it uses less digits than its factorization.

40064112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40064112 is about 6329.6217896490. The cubic root of 40064112 is about 342.1778084326.

It can be divided in two parts, 4006 and 4112, that added together give a palindrome (8118).

The spelling of 40064112 in words is "forty million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 8431 16862 25293 33724 50586 67448 75879 92741 101172 134896 151758 185482 202344 227637 278223 303516 370964 404688 455274 556446 607032 741928 834669 910548 1112892 1214064 1483856 1669338 1821096 2225784 2504007 3338676 3642192 4451568 5008014 6677352 10016028 13354704 20032056 40064112