Search a number
-
+
1468524852 = 2232291406633
BaseRepresentation
bin101011110000111…
…1110100100110100
310210100021210101100
41113201332210310
511001420243402
6401415330100
751251153364
oct12741764464
93710253340
101468524852
11693a42503
1234b980930
131a5321a22
14dd06c9a4
1588dcd71c
hex5787e934

1468524852 has 36 divisors (see below), whose sum is σ = 3840110820. Its totient is φ = 472628352.

The previous prime is 1468524847. The next prime is 1468524887. The reversal of 1468524852 is 2584258641.

1468524852 is a `hidden beast` number, since 1 + 46 + 8 + 524 + 85 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327031056 + 1141493796 = 18084^2 + 33786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1468524798 and 1468524807.

It is a congruent number.

It is an unprimeable number.

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, 702273 + ... + 704360.

It is an arithmetic number, because the mean of its divisors is an integer number (106669745).

Almost surely, 21468524852 is an apocalyptic number.

1468524852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1468524852 is an abundant number, since it is smaller than the sum of its proper divisors (2371585968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1468524852 is a wasteful number, since it uses less digits than its factorization.

1468524852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406672 (or 1406667 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 1468524852 is about 38321.3367720908. The cubic root of 1468524852 is about 1136.6509000812.

The spelling of 1468524852 in words is "one billion, four hundred sixty-eight million, five hundred twenty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1406633 2813266 4219899 5626532 8439798 12659697 16879596 25319394 40792357 50638788 81584714 122377071 163169428 244754142 367131213 489508284 734262426 1468524852