Search a number
-
+
457728245812 = 22792149312281
BaseRepresentation
bin1101010100100101011…
…10101100000000110100
31121202110212110002212001
412222102232230000310
524444411412331222
6550135532505044
745032634615445
oct6522256540064
91552425402761
10457728245812
11167137730962
127486431b184
1334218532a86
141822305b2cc
15bd8e9a8e27
hex6a92bac034

457728245812 has 36 divisors (see below), whose sum is σ = 811901831076. Its totient is φ = 225797370240.

The previous prime is 457728245801. The next prime is 457728245813. The reversal of 457728245812 is 218542827754.

It can be written as a sum of positive squares in 2 ways, for example, as 399823523856 + 57904721956 = 632316^2 + 240634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457728245813) 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 11 ways as a sum of consecutive naturals, for example, 37265112 + ... + 37277392.

It is an arithmetic number, because the mean of its divisors is an integer number (22552828641).

Almost surely, 2457728245812 is an apocalyptic number.

It is an amenable number.

457728245812 is a deficient number, since it is larger than the sum of its proper divisors (354173585264).

457728245812 is a wasteful number, since it uses less digits than its factorization.

457728245812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936 (or 13855 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 55.

The spelling of 457728245812 in words is "four hundred fifty-seven billion, seven hundred twenty-eight million, two hundred forty-five thousand, eight hundred twelve".

Divisors: 1 2 4 79 158 316 1493 2986 5972 6241 12281 12482 24562 24964 49124 117947 235894 471788 970199 1940398 3880796 9317813 18335533 18635626 36671066 37271252 73342132 76645721 153291442 306582884 1448507107 2897014214 5794028428 114432061453 228864122906 457728245812