Search a number
-
+
40683456 = 2632116421
BaseRepresentation
bin1001101100110…
…0011111000000
32211112221012200
42123030133000
540403332311
64011553200
71002542442
oct233143700
984487180
1040683456
1120a680a0
121175b800
138575968
145590492
153889556
hex26cc7c0

40683456 has 84 divisors (see below), whose sum is σ = 127232664. Its totient is φ = 12326400.

The previous prime is 40683437. The next prime is 40683457. The reversal of 40683456 is 65438604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40683456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40683457) 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, 3126 + ... + 9546.

Almost surely, 240683456 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 40683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63616332).

40683456 is an abundant number, since it is smaller than the sum of its proper divisors (86549208).

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

40683456 is a wasteful number, since it uses less digits than its factorization.

40683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40683456 is about 6378.3584094969. The cubic root of 40683456 is about 343.9320219021.

The spelling of 40683456 in words is "forty million, six hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 6421 12842 19263 25684 38526 51368 57789 70631 77052 102736 115578 141262 154104 205472 211893 231156 282524 308208 410944 423786 462312 565048 616416 635679 847572 924624 1130096 1232832 1271358 1695144 1849248 2260192 2542716 3390288 3698496 4520384 5085432 6780576 10170864 13561152 20341728 40683456