Search a number
-
+
54314001 = 3272791559
BaseRepresentation
bin1100111100110…
…0010000010001
310210012102210200
43033030100101
5102401022001
65220045413
71226442600
oct317142021
9123172720
1054314001
1128727a05
1216233869
13b338b81
1472dba37
154b7d086
hex33cc411

54314001 has 36 divisors (see below), whose sum is σ = 92476800. Its totient is φ = 30624048.

The previous prime is 54313981. The next prime is 54314003. The reversal of 54314001 is 10041345.

It is a happy number.

It is not a de Polignac number, because 54314001 - 25 = 54313969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34060 + ... + 35618.

It is an arithmetic number, because the mean of its divisors is an integer number (2568800).

Almost surely, 254314001 is an apocalyptic number.

It is an amenable number.

54314001 is a deficient number, since it is larger than the sum of its proper divisors (38162799).

54314001 is a wasteful number, since it uses less digits than its factorization.

54314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54314001 is about 7369.8033216633. The cubic root of 54314001 is about 378.7075226029.

Adding to 54314001 its reverse (10041345), we get a palindrome (64355346).

The spelling of 54314001 in words is "fifty-four million, three hundred fourteen thousand, one".

Divisors: 1 3 7 9 21 49 63 79 147 237 441 553 711 1559 1659 3871 4677 4977 10913 11613 14031 32739 34839 76391 98217 123161 229173 369483 687519 862127 1108449 2586381 6034889 7759143 18104667 54314001