Search a number
-
+
552045312 = 28327132633
BaseRepresentation
bin100000111001111…
…000101100000000
31102110202210210200
4200321320230000
52112310422222
6130440125200
716452210360
oct4071705400
91373683720
10552045312
112636848a5
12134a66800
138a4a8440
14534629a0
15336e8eac
hex20e78b00

552045312 has 216 divisors, whose sum is σ = 1959738144. Its totient is φ = 145539072.

The previous prime is 552045293. The next prime is 552045313. The reversal of 552045312 is 213540255.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (552045313) 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 23 ways as a sum of consecutive naturals, for example, 208348 + ... + 210980.

Almost surely, 2552045312 is an apocalyptic number.

552045312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979869072).

552045312 is an abundant number, since it is smaller than the sum of its proper divisors (1407692832).

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

552045312 is a wasteful number, since it uses less digits than its factorization.

552045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 552045312 is about 23495.6445325511. The cubic root of 552045312 is about 820.3356309973.

Adding to 552045312 its reverse (213540255), we get a palindrome (765585567).

It can be divided in two parts, 55204 and 5312, that added together give a square (60516 = 2462).

The spelling of 552045312 in words is "five hundred fifty-two million, forty-five thousand, three hundred twelve".