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52963056 = 24321971867
BaseRepresentation
bin1100101000001…
…0011011110000
310200122210122200
43022002123300
5102024304211
65131103200
71212115146
oct312023360
9120583580
1052963056
1127994a23
12158a1b00
13ac84cb3
147069596
1549b2b56
hex32826f0

52963056 has 60 divisors (see below), whose sum is σ = 149055192. Its totient is φ = 17555328.

The previous prime is 52963049. The next prime is 52963069. The reversal of 52963056 is 65036925.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52963056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27435 + ... + 29301.

Almost surely, 252963056 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 52963056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74527596).

52963056 is an abundant number, since it is smaller than the sum of its proper divisors (96092136).

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

52963056 is a wasteful number, since it uses less digits than its factorization.

52963056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 52963056 is about 7277.5721226244. The cubic root of 52963056 is about 375.5412770086.

The spelling of 52963056 in words is "fifty-two million, nine hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 1867 2364 3152 3546 3734 4728 5601 7092 7468 9456 11202 14184 14936 16803 22404 28368 29872 33606 44808 67212 89616 134424 268848 367799 735598 1103397 1471196 2206794 2942392 3310191 4413588 5884784 6620382 8827176 13240764 17654352 26481528 52963056