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557782240 = 255171943251
BaseRepresentation
bin100001001111110…
…001010011100000
31102212120021101111
4201033301103200
52120243012430
6131203113104
716552033201
oct4117612340
91385507344
10557782240
11266943064
12136972794
138b736782
14541175a8
1533e7dc2a
hex213f14e0

557782240 has 192 divisors, whose sum is σ = 1508855040. Its totient is φ = 193536000.

The previous prime is 557782237. The next prime is 557782241. The reversal of 557782240 is 42287755.

It is a happy number.

It is a super-2 number, since 2×5577822402 = 622242054518835200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 557782193 and 557782202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557782241) 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 31 ways as a sum of consecutive naturals, for example, 2222115 + ... + 2222365.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2557782240 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 557782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754427520).

557782240 is an abundant number, since it is smaller than the sum of its proper divisors (951072800).

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

557782240 is a wasteful number, since it uses less digits than its factorization.

557782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 557782240 is about 23617.4139143133. The cubic root of 557782240 is about 823.1675225805.

The spelling of 557782240 in words is "five hundred fifty-seven million, seven hundred eighty-two thousand, two hundred forty".