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66010448 = 2472269313
BaseRepresentation
bin1111101111001…
…1110101010000
311121012200022102
43323303311100
5113344313243
610314455532
71431036200
oct373636520
9147180272
1066010448
1134296699
121a1345a8
13108a294a
148aa4400
155bdd9b8
hex3ef3d50

66010448 has 60 divisors (see below), whose sum is σ = 149806260. Its totient is φ = 28094976.

The previous prime is 66010429. The next prime is 66010463. The reversal of 66010448 is 84401066.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 64128064 = 1372^2 + 8008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66010448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210740 + ... + 211052.

It is an arithmetic number, because the mean of its divisors is an integer number (2496771).

Almost surely, 266010448 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 66010448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74903130).

66010448 is an abundant number, since it is smaller than the sum of its proper divisors (83795812).

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

66010448 is a wasteful number, since it uses less digits than its factorization.

66010448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 66010448 is about 8124.6814091385. The cubic root of 66010448 is about 404.1453256218.

The spelling of 66010448 in words is "sixty-six million, ten thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 269 313 392 538 626 784 1076 1252 1883 2152 2191 2504 3766 4304 4382 5008 7532 8764 13181 15064 15337 17528 26362 30128 30674 35056 52724 61348 84197 105448 122696 168394 210896 245392 336788 589379 673576 1178758 1347152 2357516 4125653 4715032 8251306 9430064 16502612 33005224 66010448