Search a number
-
+
552418104 = 233797109311
BaseRepresentation
bin100000111011010…
…011101100111000
31102111110202011210
4200323103230320
52112404334404
6130452123120
716455322260
oct4073235470
91374422153
10552418104
11263909997
121350064a0
138a5a9024
145351c7a0
153376e689
hex20ed3b38

552418104 has 128 divisors (see below), whose sum is σ = 1614412800. Its totient is φ = 154275840.

The previous prime is 552418091. The next prime is 552418183. The reversal of 552418104 is 401814255.

552418104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776109 + ... + 1776419.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2552418104 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 552418104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807206400).

552418104 is an abundant number, since it is smaller than the sum of its proper divisors (1061994696).

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

552418104 is a wasteful number, since it uses less digits than its factorization.

552418104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 552418104 is about 23503.5764087085. The cubic root of 552418104 is about 820.5202449179.

The spelling of 552418104 in words is "five hundred fifty-two million, four hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 109 168 194 218 291 311 327 388 436 582 622 654 679 763 776 872 933 1164 1244 1308 1358 1526 1866 2037 2177 2289 2328 2488 2616 2716 3052 3732 4074 4354 4578 5432 6104 6531 7464 8148 8708 9156 10573 13062 16296 17416 18312 21146 26124 30167 31719 33899 42292 52248 60334 63438 67798 74011 84584 90501 101697 120668 126876 135596 148022 181002 203394 211169 222033 237293 241336 253752 271192 296044 362004 406788 422338 444066 474586 592088 633507 711879 724008 813576 844676 888132 949172 1267014 1423758 1689352 1776264 1898344 2534028 2847516 3288203 5068056 5695032 6576406 9864609 13152812 19729218 23017421 26305624 39458436 46034842 69052263 78916872 92069684 138104526 184139368 276209052 552418104