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65552320 = 2651271613
BaseRepresentation
bin1111101000001…
…1111111000000
311120100101212201
43322003333000
5113240133240
610301002544
71424120431
oct372037700
9146311781
1065552320
1134003479
1219b53454
1310772272
1489c5488
155b4cd9a
hex3e83fc0

65552320 has 56 divisors (see below), whose sum is σ = 157423104. Its totient is φ = 25998336.

The previous prime is 65552293. The next prime is 65552329. The reversal of 65552320 is 2325556.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65552329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39834 + ... + 41446.

Almost surely, 265552320 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 65552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711552).

65552320 is an abundant number, since it is smaller than the sum of its proper divisors (91870784).

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

65552320 is a wasteful number, since it uses less digits than its factorization.

65552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 65552320 is about 8096.4387232906. The cubic root of 65552320 is about 403.2081998416.

Adding to 65552320 its reverse (2325556), we get a palindrome (67877876).

It can be divided in two parts, 655 and 52320, that added together give a triangular number (52975 = T325).

The spelling of 65552320 in words is "sixty-five million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 1613 2032 2540 3226 4064 5080 6452 8065 8128 10160 12904 16130 20320 25808 32260 40640 51616 64520 103232 129040 204851 258080 409702 516160 819404 1024255 1638808 2048510 3277616 4097020 6555232 8194040 13110464 16388080 32776160 65552320