Search a number
-
+
553171216 = 24132779601
BaseRepresentation
bin100000111110001…
…011100100010000
31102112220000020211
4200332023210100
52113102434331
6130520213504
716464610033
oct4076134420
91375800224
10553171216
112642837a4
1213530a294
138a7b0a60
145367701a
153386c8b1
hex20f8b910

553171216 has 40 divisors (see below), whose sum is σ = 1158500504. Its totient is φ = 254361600.

The previous prime is 553171189. The next prime is 553171217. The reversal of 553171216 is 612171355.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 538425616 = 3840^2 + 23204^2 .

It is not an unprimeable number, because it can be changed into a prime (553171217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52816 + ... + 62416.

Almost surely, 2553171216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553171216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579250252).

553171216 is an abundant number, since it is smaller than the sum of its proper divisors (605329288).

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

553171216 is a wasteful number, since it uses less digits than its factorization.

553171216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9893 counting only the distinct ones).

The product of its digits is 6300, while the sum is 31.

The square root of 553171216 is about 23519.5921733350. The cubic root of 553171216 is about 820.8929475480.

The spelling of 553171216 in words is "five hundred fifty-three million, one hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 277 554 1108 2216 3601 4432 7202 9601 14404 19202 28808 38404 57616 76808 124813 153616 249626 499252 998504 1997008 2659477 5318954 10637908 21275816 34573201 42551632 69146402 138292804 276585608 553171216