Search a number
-
+
553066556 = 227232713169
BaseRepresentation
bin100000111101110…
…010000000111100
31102112200200200112
4200331302000330
52113041112211
6130514045152
716463662640
oct4075620074
91375620615
10553066556
112642120a9
121352797b8
138a775223
145364ac20
153384b88b
hex20f7203c

553066556 has 48 divisors (see below), whose sum is σ = 1158850560. Its totient is φ = 225815040.

The previous prime is 553066541. The next prime is 553066561. The reversal of 553066556 is 655660355.

It is a super-3 number, since 3×5530665563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172940 + ... + 176108.

It is an arithmetic number, because the mean of its divisors is an integer number (24142720).

Almost surely, 2553066556 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 553066556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579425280).

553066556 is an abundant number, since it is smaller than the sum of its proper divisors (605784004).

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

553066556 is a wasteful number, since it uses less digits than its factorization.

553066556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 41.

The square root of 553066556 is about 23517.3671145390. The cubic root of 553066556 is about 820.8411732978.

The spelling of 553066556 in words is "five hundred fifty-three million, sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 271 322 542 644 1084 1897 3169 3794 6233 6338 7588 12466 12676 22183 24932 43631 44366 72887 87262 88732 145774 174524 291548 510209 858799 1020418 1717598 2040836 3435196 6011593 12023186 19752377 24046372 39504754 79009508 138266639 276533278 553066556