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412792381 is a prime number
BaseRepresentation
bin11000100110101…
…011011000111101
31001202202000200201
4120212223120331
51321133324011
6104543323501
713141451221
oct3046533075
91052660621
10412792381
111a2013031
12b62b0591
13676a0161
143cb74781
152638dcc1
hex189ab63d

412792381 has 2 divisors, whose sum is σ = 412792382. Its totient is φ = 412792380.

The previous prime is 412792357. The next prime is 412792403. The reversal of 412792381 is 183297214.

It is the 8295-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254913156 + 157879225 = 15966^2 + 12565^2 .

It is a cyclic number.

It is not a de Polignac number, because 412792381 - 27 = 412792253 is a prime.

It is a super-2 number, since 2×4127923812 = 340795099623298322, which contains 22 as substring.

It is equal to p21981457 and since 412792381 and 21981457 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412792381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412792321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206396190 + 206396191.

It is an arithmetic number, because the mean of its divisors is an integer number (206396191).

Almost surely, 2412792381 is an apocalyptic number.

It is an amenable number.

412792381 is a deficient number, since it is larger than the sum of its proper divisors (1).

412792381 is an equidigital number, since it uses as much as digits as its factorization.

412792381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 37.

The square root of 412792381 is about 20317.2926592103. The cubic root of 412792381 is about 744.5786131032.

It can be divided in two parts, 41279 and 2381, that added together give a triangular number (43660 = T295).

The spelling of 412792381 in words is "four hundred twelve million, seven hundred ninety-two thousand, three hundred eighty-one".