Search a number
-
+
827414037 = 3291934893
BaseRepresentation
bin110001010100010…
…101011000010101
32010122220222200100
4301110111120111
53143304222122
6214034204313
726334621552
oct6124253025
92118828610
10827414037
1139506545a
121b1123699
13102560b08
147bc63a29
154c98eaac
hex31515615

827414037 has 6 divisors (see below), whose sum is σ = 1195153622. Its totient is φ = 551609352.

The previous prime is 827414023. The next prime is 827414083. The reversal of 827414037 is 730414728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 791521956 + 35892081 = 28134^2 + 5991^2 .

It is a de Polignac number, because none of the positive numbers 2k-827414037 is a prime.

It is a super-2 number, since 2×8274140372 = 1369227977249274738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827413992 and 827414010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827414437) 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 5 ways as a sum of consecutive naturals, for example, 45967438 + ... + 45967455.

Almost surely, 2827414037 is an apocalyptic number.

It is an amenable number.

827414037 is a deficient number, since it is larger than the sum of its proper divisors (367739585).

827414037 is a wasteful number, since it uses less digits than its factorization.

827414037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91934899 (or 91934896 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 827414037 is about 28764.8055268935. The cubic root of 827414037 is about 938.8026239839.

The spelling of 827414037 in words is "eight hundred twenty-seven million, four hundred fourteen thousand, thirty-seven".

Divisors: 1 3 9 91934893 275804679 827414037