Search a number
-
+
40783204 = 22711177789
BaseRepresentation
bin1001101110010…
…0110101100100
32211202000001001
42123210311210
540420030304
64014043044
71003436320
oct233446544
984660031
1040783204
1121026030
12117a9484
1385ac197
1455b8980
1538a8da4
hex26e4d64

40783204 has 48 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 14952960.

The previous prime is 40783201. The next prime is 40783207. The reversal of 40783204 is 40238704.

40783204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40783201) and next prime (40783207).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40783201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 9130.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 240783204 is an apocalyptic number.

40783204 is a gapful number since it is divisible by the number (44) 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 40783204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).

40783204 is an abundant number, since it is smaller than the sum of its proper divisors (53444636).

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

40783204 is a wasteful number, since it uses less digits than its factorization.

40783204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 40783204 is about 6386.1728758310. The cubic root of 40783204 is about 344.2128775221.

The spelling of 40783204 in words is "forty million, seven hundred eighty-three thousand, two hundred four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 7789 15578 31156 54523 85679 109046 132413 171358 218092 264826 342716 529652 599753 926891 1199506 1456543 1853782 2399012 2913086 3707564 5826172 10195801 20391602 40783204