Search a number
-
+
40486144 = 28167947
BaseRepresentation
bin1001101001110…
…0010100000000
32211011220112211
42122130110000
540331024034
64003431504
71001061256
oct232342400
984156484
1040486144
1120942926
1211685594
138506bca
14553c5d6
15384ad64
hex269c500

40486144 has 36 divisors (see below), whose sum is σ = 81383904. Its totient is φ = 20100608.

The previous prime is 40486139. The next prime is 40486181. The reversal of 40486144 is 44168404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42279 + ... + 43225.

It is an arithmetic number, because the mean of its divisors is an integer number (2260664).

Almost surely, 240486144 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 40486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40691952).

40486144 is an abundant number, since it is smaller than the sum of its proper divisors (40897760).

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

40486144 is an equidigital number, since it uses as much as digits as its factorization.

40486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 40486144 is about 6362.8723073782. The cubic root of 40486144 is about 343.3751049395.

The spelling of 40486144 in words is "forty million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 668 947 1336 1894 2672 3788 5344 7576 10688 15152 21376 30304 42752 60608 121216 158149 242432 316298 632596 1265192 2530384 5060768 10121536 20243072 40486144