Search a number
-
+
40604046 = 2372167827
BaseRepresentation
bin1001101011100…
…1000110001110
32211101220021120
42122321012032
540343312141
64010141410
71002062100
oct232710616
984356246
1040604046
1120a1346a
1211721866
138548782
14556d570
153870c66
hex26b918e

40604046 has 48 divisors (see below), whose sum is σ = 95147136. Its totient is φ = 11517744.

The previous prime is 40604029. The next prime is 40604111. The reversal of 40604046 is 64040604.

40604046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48685 + ... + 49511.

It is an arithmetic number, because the mean of its divisors is an integer number (1982232).

Almost surely, 240604046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40604046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568).

40604046 is an abundant number, since it is smaller than the sum of its proper divisors (54543090).

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

40604046 is a wasteful number, since it uses less digits than its factorization.

40604046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40604046 is about 6372.1304129781. The cubic root of 40604046 is about 343.7081026181.

The spelling of 40604046 in words is "forty million, six hundred four thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 167 294 334 501 827 1002 1169 1654 2338 2481 3507 4962 5789 7014 8183 11578 16366 17367 24549 34734 40523 49098 81046 121569 138109 243138 276218 414327 828654 966763 1933526 2900289 5800578 6767341 13534682 20302023 40604046