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42852830328 = 233871123461
BaseRepresentation
bin100111111010001110…
…100100110001111000
311002121111011100000000
4213322032210301320
51200230311032303
631404124513000
73044635022250
oct477216446170
9132544140000
1042852830328
11171a033a760
12837b3ab760
13406c119249
142107424960
1511ac1a9da3
hex9fa3a4c78

42852830328 has 576 divisors, whose sum is σ = 157128491520. Its totient is φ = 10623571200.

The previous prime is 42852830323. The next prime is 42852830341. The reversal of 42852830328 is 82303825824.

It is a happy number.

42852830328 is a `hidden beast` number, since 42 + 8 + 5 + 283 + 0 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42852830323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92956018 + ... + 92956478.

It is an arithmetic number, because the mean of its divisors is an integer number (272792520).

Almost surely, 242852830328 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 42852830328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78564245760).

42852830328 is an abundant number, since it is smaller than the sum of its proper divisors (114275661192).

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

42852830328 is a wasteful number, since it uses less digits than its factorization.

42852830328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42852830328 in words is "forty-two billion, eight hundred fifty-two million, eight hundred thirty thousand, three hundred twenty-eight".