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42930576 = 243213171971
BaseRepresentation
bin1010001111000…
…1000110010000
32222210002200100
42203301012100
541442234301
64132052400
71030622013
oct243610620
988702610
1042930576
1122262417
1212464100
138b81710
1459b737a
153b80286
hex28f1190

42930576 has 240 divisors, whose sum is σ = 146240640. Its totient is φ = 11612160.

The previous prime is 42930571. The next prime is 42930607. The reversal of 42930576 is 67503924.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42930576.

It is not an unprimeable number, because it can be changed into a prime (42930571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604621 + ... + 604691.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 242930576 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 42930576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

42930576 is an abundant number, since it is smaller than the sum of its proper divisors (103310064).

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

42930576 is a wasteful number, since it uses less digits than its factorization.

42930576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42930576 is about 6552.1428555855. The cubic root of 42930576 is about 350.1511619160.

The spelling of 42930576 in words is "forty-two million, nine hundred thirty thousand, five hundred seventy-six".