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552506928 = 243194211439
BaseRepresentation
bin100000111011101…
…001011000110000
31102111122021000120
4200323221120300
52112420210203
6130454050240
716456142241
oct4073513060
91374567016
10552506928
1126396a6a6
12135049980
138a60a59c
1453542cc8
153378ab53
hex20ee9630

552506928 has 80 divisors (see below), whose sum is σ = 1507046400. Its totient is φ = 173940480.

The previous prime is 552506923. The next prime is 552506959. The reversal of 552506928 is 829605255.

It is a self number, because there is not a number n which added to its sum of digits gives 552506928.

It is not an unprimeable number, because it can be changed into a prime (552506923) by changing a digit.

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, 383233 + ... + 384671.

It is an arithmetic number, because the mean of its divisors is an integer number (18838080).

Almost surely, 2552506928 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 552506928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753523200).

552506928 is an abundant number, since it is smaller than the sum of its proper divisors (954539472).

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

552506928 is a wasteful number, since it uses less digits than its factorization.

552506928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 552506928 is about 23505.4659175265. The cubic root of 552506928 is about 820.5642200543.

The spelling of 552506928 in words is "five hundred fifty-two million, five hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 421 456 842 912 1263 1439 1684 2526 2878 3368 4317 5052 5756 6736 7999 8634 10104 11512 15998 17268 20208 23024 23997 27341 31996 34536 47994 54682 63992 69072 82023 95988 109364 127984 164046 191976 218728 328092 383952 437456 605819 656184 1211638 1312368 1817457 2423276 3634914 4846552 7269828 9693104 11510561 14539656 23021122 29079312 34531683 46042244 69063366 92084488 138126732 184168976 276253464 552506928