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52966080 = 2632553347
BaseRepresentation
bin1100101000001…
…1001011000000
310200122221210200
43022003023000
5102024403310
65131125200
71212130026
oct312031300
9120587720
1052966080
1127997222
12158a3800
13ac8649b
14706a716
1549b39c0
hex32832c0

52966080 has 168 divisors, whose sum is σ = 186153552. Its totient is φ = 13817856.

The previous prime is 52966063. The next prime is 52966087. The reversal of 52966080 is 8066925.

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

It is not an unprimeable number, because it can be changed into a prime (52966087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152467 + ... + 152813.

Almost surely, 252966080 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 52966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93076776).

52966080 is an abundant number, since it is smaller than the sum of its proper divisors (133187472).

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

52966080 is a wasteful number, since it uses less digits than its factorization.

52966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 52966080 is about 7277.7798812550. The cubic root of 52966080 is about 375.5484242247.

The spelling of 52966080 in words is "fifty-two million, nine hundred sixty-six thousand, eighty".