Search a number
-
+
816537421 = 72172232109
BaseRepresentation
bin110000101010110…
…101111101001101
32002220110101202201
4300222311331031
53133013144141
6213005121501
726143311400
oct6052657515
92086411681
10816537421
11389a06717
121a9559291
1310022324b
147a631d37
154ba42031
hex30ab5f4d

816537421 has 54 divisors (see below), whose sum is σ = 1064464170. Its totient is φ = 624298752.

The previous prime is 816537391. The next prime is 816537431. The reversal of 816537421 is 124735618.

It can be written as a sum of positive squares in 3 ways, for example, as 411521796 + 405015625 = 20286^2 + 20125^2 .

It is not a de Polignac number, because 816537421 - 25 = 816537389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816537431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7491115 + ... + 7491223.

Almost surely, 2816537421 is an apocalyptic number.

It is an amenable number.

816537421 is a deficient number, since it is larger than the sum of its proper divisors (247926749).

816537421 is a wasteful number, since it uses less digits than its factorization.

816537421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 156 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 816537421 is about 28575.1189148882. The cubic root of 816537421 is about 934.6708483284.

The spelling of 816537421 in words is "eight hundred sixteen million, five hundred thirty-seven thousand, four hundred twenty-one".

Divisors: 1 7 17 23 49 109 119 161 289 391 529 763 833 1127 1853 2023 2507 2737 3703 5341 6647 8993 12971 14161 17549 19159 25921 31501 42619 46529 57661 62951 90797 122843 152881 220507 298333 325703 403627 440657 724523 980237 1070167 1543549 2088331 2825389 5071661 6861659 7491169 16664029 35501627 48031613 116648203 816537421