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40684152 = 23331149367
BaseRepresentation
bin1001101100110…
…0101001111000
32211112222011110
42123030221320
540403343102
64012000320
71002544455
oct233145170
984488143
1040684152
1120a68673
12117600a0
138576082
14559082c
15388986c
hex26cca78

40684152 has 64 divisors (see below), whose sum is σ = 105984000. Its totient is φ = 13000320.

The previous prime is 40684151. The next prime is 40684153. The reversal of 40684152 is 25148604.

40684152 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 (40684151) and next prime (40684153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40684151) 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, 110673 + ... + 111039.

It is an arithmetic number, because the mean of its divisors is an integer number (1656000).

Almost surely, 240684152 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 40684152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52992000).

40684152 is an abundant number, since it is smaller than the sum of its proper divisors (65299848).

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

40684152 is a wasteful number, since it uses less digits than its factorization.

40684152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 40684152 is about 6378.4129687564. The cubic root of 40684152 is about 343.9339831852.

The spelling of 40684152 in words is "forty million, six hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 367 372 447 596 734 744 894 1101 1192 1468 1788 2202 2936 3576 4404 4619 8808 9238 11377 13857 18476 22754 27714 34131 36952 45508 54683 55428 68262 91016 109366 110856 136524 164049 218732 273048 328098 437464 656196 1312392 1695173 3390346 5085519 6780692 10171038 13561384 20342076 40684152