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66288544 = 2571392129
BaseRepresentation
bin1111110011011…
…1101110100000
311121201210210021
43330313232200
5113432213134
610324443224
71433305030
oct374675640
9147653707
1066288544
1134466623
121a249514
131096c3ba
148b378c0
155c460b4
hex3f37ba0

66288544 has 48 divisors (see below), whose sum is σ = 150292800. Its totient is φ = 28191744.

The previous prime is 66288529. The next prime is 66288557. The reversal of 66288544 is 44588266.

It is a self number, because there is not a number n which added to its sum of digits gives 66288544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30072 + ... + 32200.

It is an arithmetic number, because the mean of its divisors is an integer number (3131100).

Almost surely, 266288544 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 66288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75146400).

66288544 is an abundant number, since it is smaller than the sum of its proper divisors (84004256).

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

66288544 is a wasteful number, since it uses less digits than its factorization.

66288544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 66288544 is about 8141.7776928629. Note that the first 3 decimals coincide. The cubic root of 66288544 is about 404.7120729522.

The spelling of 66288544 in words is "sixty-six million, two hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1946 2129 2224 3892 4258 4448 7784 8516 14903 15568 17032 29806 31136 34064 59612 68128 119224 238448 295931 476896 591862 1183724 2071517 2367448 4143034 4734896 8286068 9469792 16572136 33144272 66288544