Search a number
-
+
40483328 = 29372137
BaseRepresentation
bin1001101001101…
…1101000000000
32211011202200112
42122123220000
540330431303
64003410452
71001050124
oct232335000
984152615
1040483328
11209407a6
1211683a28
138505842
14553b584
15384a0d8
hex269ba00

40483328 has 40 divisors (see below), whose sum is σ = 83112612. Its totient is φ = 19685376.

The previous prime is 40483297. The next prime is 40483349. The reversal of 40483328 is 82338404.

It can be written as a sum of positive squares in 2 ways, for example, as 40347904 + 135424 = 6352^2 + 368^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40483294 and 40483303.

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, 17876 + ... + 20012.

Almost surely, 240483328 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 40483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556306).

40483328 is an abundant number, since it is smaller than the sum of its proper divisors (42629284).

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

40483328 is an equidigital number, since it uses as much as digits as its factorization.

40483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 40483328 is about 6362.6510198187. The cubic root of 40483328 is about 343.3671436420.

The spelling of 40483328 in words is "forty million, four hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2137 2368 4274 4736 8548 9472 17096 18944 34192 68384 79069 136768 158138 273536 316276 547072 632552 1094144 1265104 2530208 5060416 10120832 20241664 40483328