Search a number
-
+
41656320 = 213325113
BaseRepresentation
bin1001111011101…
…0000000000000
32220101100201200
42132322000000
541131000240
64044501200
71014033666
oct236720000
986340650
1041656320
1121572012
1211b4a800
138826714
145764c36
1539cc930
hex27ba000

41656320 has 168 divisors, whose sum is σ = 145677636. Its totient is φ = 11010048.

The previous prime is 41656319. The next prime is 41656327. The reversal of 41656320 is 2365614.

41656320 is a `hidden beast` number, since 4 + 1 + 656 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 6230016 = 5952^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (41656327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368584 + ... + 368696.

Almost surely, 241656320 is an apocalyptic number.

41656320 is a gapful number since it is divisible by the number (40) 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 41656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72838818).

41656320 is an abundant number, since it is smaller than the sum of its proper divisors (104021316).

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

41656320 is a wasteful number, since it uses less digits than its factorization.

41656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 41656320 is about 6454.1707445651. The cubic root of 41656320 is about 346.6519388878.

The spelling of 41656320 in words is "forty-one million, six hundred fifty-six thousand, three hundred twenty".