Search a number
-
+
40601946 = 23711233821
BaseRepresentation
bin1001101011100…
…0100101011010
32211101210101210
42122320211122
540343230241
64010123550
71002053010
oct232704532
984353353
1040601946
1120a11930
12117205b6
138547828
14556c8b0
153870316
hex26b895a

40601946 has 64 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 10084800.

The previous prime is 40601941. The next prime is 40601963. The reversal of 40601946 is 64910604.

40601946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40601941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8716 + ... + 12536.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 240601946 is an apocalyptic number.

40601946 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40601946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

40601946 is an abundant number, since it is smaller than the sum of its proper divisors (65068710).

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

40601946 is a wasteful number, since it uses less digits than its factorization.

40601946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40601946 is about 6371.9656307924. The cubic root of 40601946 is about 343.7021771047.

It can be divided in two parts, 4060 and 1946, that added together give a palindrome (6006).

The spelling of 40601946 in words is "forty million, six hundred one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 3821 5313 7642 10626 11463 22926 26747 42031 53494 80241 84062 87883 126093 160482 175766 252186 263649 294217 527298 588434 615181 882651 966713 1230362 1765302 1845543 1933426 2900139 3691086 5800278 6766991 13533982 20300973 40601946