Search a number
-
+
53089506 = 234417993
BaseRepresentation
bin1100101010000…
…1010011100010
310200220020010000
43022201103202
5102042331011
65133520430
71213152621
oct312412342
9120806100
1053089506
1127a70a28
1215943116
13acca712
14709d6b8
1549da356
hex32a14e2

53089506 has 40 divisors (see below), whose sum is σ = 121876524. Its totient is φ = 17262720.

The previous prime is 53089489. The next prime is 53089507. The reversal of 53089506 is 60598035.

It can be written as a sum of positive squares in 2 ways, for example, as 39803481 + 13286025 = 6309^2 + 3645^2 .

It is not an unprimeable number, because it can be changed into a prime (53089507) 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 19 ways as a sum of consecutive naturals, for example, 2646 + ... + 10638.

Almost surely, 253089506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53089506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60938262).

53089506 is an abundant number, since it is smaller than the sum of its proper divisors (68787018).

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

53089506 is a wasteful number, since it uses less digits than its factorization.

53089506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53089506 is about 7286.2545934108. The cubic root of 53089506 is about 375.8399094014.

The spelling of 53089506 in words is "fifty-three million, eighty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 7993 15986 23979 47958 71937 143874 215811 327713 431622 647433 655426 983139 1294866 1966278 2949417 5898834 8848251 17696502 26544753 53089506