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40152293 is a prime number
BaseRepresentation
bin1001100100101…
…0110011100101
32210112221120222
42121022303211
540234333133
63552334125
7665201036
oct231126345
983487528
1040152293
1120735015
1211544345
13841ac6c
145492a8d
1537d1e98
hex264ace5

40152293 has 2 divisors, whose sum is σ = 40152294. Its totient is φ = 40152292.

The previous prime is 40152271. The next prime is 40152337. The reversal of 40152293 is 39225104.

40152293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31730689 + 8421604 = 5633^2 + 2902^2 .

It is a cyclic number.

It is not a de Polignac number, because 40152293 - 220 = 39103717 is a prime.

It is a super-3 number, since 3×401522933 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p2442356 and since 40152293 and 2442356 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40152253) 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 as a sum of consecutive naturals, namely, 20076146 + 20076147.

It is an arithmetic number, because the mean of its divisors is an integer number (20076147).

Almost surely, 240152293 is an apocalyptic number.

It is an amenable number.

40152293 is a deficient number, since it is larger than the sum of its proper divisors (1).

40152293 is an equidigital number, since it uses as much as digits as its factorization.

40152293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 40152293 is about 6336.5837010174. The cubic root of 40152293 is about 342.4286686125.

Adding to 40152293 its reverse (39225104), we get a palindrome (79377397).

The spelling of 40152293 in words is "forty million, one hundred fifty-two thousand, two hundred ninety-three".