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552468288 = 263127139163
BaseRepresentation
bin100000111011011…
…111111101000000
31102111120022000110
4200323133331000
52112412441123
6130453151320
716455621501
oct4073377500
91374508013
10552468288
11263943669
1213502b540
138a5c5b18
1453532ba8
153377e493
hex20edff40

552468288 has 112 divisors (see below), whose sum is σ = 1492951040. Its totient is φ = 180278784.

The previous prime is 552468281. The next prime is 552468313. The reversal of 552468288 is 882864255.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552468281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389295 + ... + 3389457.

It is an arithmetic number, because the mean of its divisors is an integer number (13329920).

Almost surely, 2552468288 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 552468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746475520).

552468288 is an abundant number, since it is smaller than the sum of its proper divisors (940482752).

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

552468288 is a wasteful number, since it uses less digits than its factorization.

552468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 552468288 is about 23504.6439666718. The cubic root of 552468288 is about 820.5450906769.

The spelling of 552468288 in words is "five hundred fifty-two million, four hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 139 163 192 254 278 326 381 417 489 508 556 652 762 834 978 1016 1112 1304 1524 1668 1956 2032 2224 2608 3048 3336 3912 4064 4448 5216 6096 6672 7824 8128 8896 10432 12192 13344 15648 17653 20701 22657 24384 26688 31296 35306 41402 45314 52959 62103 67971 70612 82804 90628 105918 124206 135942 141224 165608 181256 211836 248412 271884 282448 331216 362512 423672 496824 543768 564896 662432 725024 847344 993648 1087536 1129792 1324864 1450048 1694688 1987296 2175072 2877439 3389376 3974592 4350144 5754878 8632317 11509756 17264634 23019512 34529268 46039024 69058536 92078048 138117072 184156096 276234144 552468288