Search a number
-
+
1238564925 = 35521315683
BaseRepresentation
bin100100111010011…
…0000000000111101
310012022120121200000
41021310300000331
510014033034200
6322522424513
742456425313
oct11164600075
93168517600
101238564925
11586157184
122a6962139
131697a7a70
14ba6cc0b3
1573b07300
hex49d3003d

1238564925 has 72 divisors (see below), whose sum is σ = 2477695584. Its totient is φ = 609716160.

The previous prime is 1238564849. The next prime is 1238564947. The reversal of 1238564925 is 5294658321.

It is not a de Polignac number, because 1238564925 - 217 = 1238433853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 71134 + ... + 86816.

Almost surely, 21238564925 is an apocalyptic number.

1238564925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1238564925 is an abundant number, since it is smaller than the sum of its proper divisors (1239130659).

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

1238564925 is a wasteful number, since it uses less digits than its factorization.

1238564925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15721 (or 15704 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1238564925 is about 35193.2511285900. The cubic root of 1238564925 is about 1073.9224609293.

The spelling of 1238564925 in words is "one billion, two hundred thirty-eight million, five hundred sixty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 243 325 351 405 585 675 975 1053 1215 1755 2025 2925 3159 5265 6075 8775 15683 15795 26325 47049 78415 78975 141147 203879 235245 392075 423441 611637 705735 1019395 1176225 1270323 1834911 2117205 3058185 3528675 3810969 5096975 5504733 6351615 9174555 10586025 15290925 16514199 19054845 27523665 31758075 45872775 49542597 82570995 95274225 137618325 247712985 412854975 1238564925