Search a number
-
+
40675782 = 2372314463
BaseRepresentation
bin1001101100101…
…0100111000110
32211112112200110
42123022213012
540403111112
64011453450
71002511200
oct233124706
984475613
1040675782
1120a62354
1211757286
138572314
14558b770
15388713c
hex26ca9c6

40675782 has 48 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 11244240.

The previous prime is 40675771. The next prime is 40675783. The reversal of 40675782 is 28757604.

40675782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40675782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40675783) 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 23 ways as a sum of consecutive naturals, for example, 6883 + ... + 11345.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 240675782 is an apocalyptic number.

40675782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40675782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

40675782 is an abundant number, since it is smaller than the sum of its proper divisors (57032250).

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

40675782 is a wasteful number, since it uses less digits than its factorization.

40675782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 40675782 is about 6377.7568156837. The cubic root of 40675782 is about 343.9103955822.

The spelling of 40675782 in words is "forty million, six hundred seventy-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4463 4557 8926 9114 13389 26778 31241 62482 93723 138353 187446 218687 276706 415059 437374 656061 830118 968471 1312122 1936942 2905413 5810826 6779297 13558594 20337891 40675782