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40152517 is a prime number
BaseRepresentation
bin1001100100101…
…0110111000101
32210112221220021
42121022313011
540234340032
63552335141
7665201506
oct231126705
983487807
1040152517
11207351a9
12115444b1
13841b0b2
145492bad
1537d2097
hex264adc5

40152517 has 2 divisors, whose sum is σ = 40152518. Its totient is φ = 40152516.

The previous prime is 40152493. The next prime is 40152527. The reversal of 40152517 is 71525104.

40152517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24542116 + 15610401 = 4954^2 + 3951^2 .

It is a cyclic number.

It is not a de Polignac number, because 40152517 - 215 = 40119749 is a prime.

It is a super-2 number, since 2×401525172 = 3224449242870578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40152491 and 40152500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40152527) 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, 20076258 + 20076259.

It is an arithmetic number, because the mean of its divisors is an integer number (20076259).

Almost surely, 240152517 is an apocalyptic number.

It is an amenable number.

40152517 is a deficient number, since it is larger than the sum of its proper divisors (1).

40152517 is an equidigital number, since it uses as much as digits as its factorization.

40152517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 40152517 is about 6336.6013761322. The cubic root of 40152517 is about 342.4293053871.

The spelling of 40152517 in words is "forty million, one hundred fifty-two thousand, five hundred seventeen".