Search a number
-
+
401615629 is a prime number
BaseRepresentation
bin10111111100000…
…010101100001101
31000222201012001221
4113330002230031
51310303200004
6103504003341
712644451022
oct2774025415
91028635057
10401615629
11196779848
12b2600551
1365288aac
143b4a5549
15253d2354
hex17f02b0d

401615629 has 2 divisors, whose sum is σ = 401615630. Its totient is φ = 401615628.

The previous prime is 401615603. The next prime is 401615663. The reversal of 401615629 is 926516104.

It is an a-pointer prime, because the next prime (401615663) can be obtained adding 401615629 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218744100 + 182871529 = 14790^2 + 13523^2 .

It is a cyclic number.

It is not a de Polignac number, because 401615629 - 215 = 401582861 is a prime.

It is a super-2 number, since 2×4016156292 = 322590226914131282, which contains 22 as substring.

It is equal to p21417694 and since 401615629 and 21417694 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 401615594 and 401615603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401615129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200807814 + 200807815.

It is an arithmetic number, because the mean of its divisors is an integer number (200807815).

Almost surely, 2401615629 is an apocalyptic number.

It is an amenable number.

401615629 is a deficient number, since it is larger than the sum of its proper divisors (1).

401615629 is an equidigital number, since it uses as much as digits as its factorization.

401615629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 401615629 is about 20040.3500218933. The cubic root of 401615629 is about 737.7969718117.

The spelling of 401615629 in words is "four hundred one million, six hundred fifteen thousand, six hundred twenty-nine".