Search a number
-
+
53385345 = 33513191601
BaseRepresentation
bin1100101110100…
…1100010000001
310201110020221000
43023221202001
5102131312340
65144122213
71215524256
oct313514201
9121406830
1053385345
1128153222
1215a66369
13b0a2280
14713942d
154a47d30
hex32e9881

53385345 has 64 divisors (see below), whose sum is σ = 107654400. Its totient is φ = 24883200.

The previous prime is 53385341. The next prime is 53385347. The reversal of 53385345 is 54358335.

53385345 is a `hidden beast` number, since 533 + 85 + 3 + 45 = 666.

It is not a de Polignac number, because 53385345 - 22 = 53385341 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53385341) 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 63 ways as a sum of consecutive naturals, for example, 32545 + ... + 34145.

It is an arithmetic number, because the mean of its divisors is an integer number (1682100).

Almost surely, 253385345 is an apocalyptic number.

It is an amenable number.

53385345 is an abundant number, since it is smaller than the sum of its proper divisors (54269055).

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

53385345 is a wasteful number, since it uses less digits than its factorization.

53385345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 53385345 is about 7306.5275610238. The cubic root of 53385345 is about 376.5367339280.

The spelling of 53385345 in words is "fifty-three million, three hundred eighty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1601 1755 2223 2565 3705 4803 6669 8005 11115 14409 20813 24015 30419 33345 43227 62439 72045 91257 104065 152095 187317 216135 273771 312195 395447 456285 561951 821313 936585 1186341 1368855 1977235 2809755 3559023 4106565 5931705 10677069 17795115 53385345