Search a number
-
+
53535288 = 2332518887
BaseRepresentation
bin1100110000111…
…0001000111000
310201201212121110
43030032020320
5102201112123
65151240320
71220020362
oct314161070
9121655543
1053535288
1128245944
1215b190a0
13b1255b1
147177d32
154a77493
hex330e238

53535288 has 32 divisors (see below), whose sum is σ = 134386560. Its totient is φ = 17772000.

The previous prime is 53535281. The next prime is 53535289. The reversal of 53535288 is 88253535.

It is a super-4 number, since 4×535352884 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53535281) 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 7 ways as a sum of consecutive naturals, for example, 1581 + ... + 10467.

It is an arithmetic number, because the mean of its divisors is an integer number (4199580).

Almost surely, 253535288 is an apocalyptic number.

It is an amenable number.

53535288 is an abundant number, since it is smaller than the sum of its proper divisors (80851272).

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

53535288 is a wasteful number, since it uses less digits than its factorization.

53535288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9143 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 53535288 is about 7316.7812595430. The cubic root of 53535288 is about 376.8889296546. Note that the first 3 decimals are identical.

The spelling of 53535288 in words is "fifty-three million, five hundred thirty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 251 502 753 1004 1506 2008 3012 6024 8887 17774 26661 35548 53322 71096 106644 213288 2230637 4461274 6691911 8922548 13383822 17845096 26767644 53535288