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552430368 = 2536717199
BaseRepresentation
bin100000111011010…
…110101100100000
31102111111101000000
4200323112230200
52112410232433
6130452300000
716455403110
oct4073265440
91374441000
10552430368
11263918126
12135011600
138a5b1799
1453523040
1533773113
hex20ed6b20

552430368 has 336 divisors, whose sum is σ = 1983139200. Its totient is φ = 147806208.

The previous prime is 552430357. The next prime is 552430397. The reversal of 552430368 is 863034255.

It is a happy number.

552430368 is a `hidden beast` number, since 55 + 243 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5524303682 = 610358622977230848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 2775933 + ... + 2776131.

It is an arithmetic number, because the mean of its divisors is an integer number (5902200).

Almost surely, 2552430368 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 552430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991569600).

552430368 is an abundant number, since it is smaller than the sum of its proper divisors (1430708832).

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

552430368 is a wasteful number, since it uses less digits than its factorization.

552430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 552430368 is about 23503.8373037255. The cubic root of 552430368 is about 820.5263168803.

The spelling of 552430368 in words is "five hundred fifty-two million, four hundred thirty thousand, three hundred sixty-eight".