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66485088 = 25322310037
BaseRepresentation
bin1111110110011…
…1101101100000
311122002210101200
43331213231200
5114010010323
610333001200
71435054035
oct375475540
9148083350
1066485088
113459025a
121a323200
1310a0a9b7
148b8938c
155c84443
hex3f67b60

66485088 has 72 divisors (see below), whose sum is σ = 197306928. Its totient is φ = 21196032.

The previous prime is 66485087. The next prime is 66485093. The reversal of 66485088 is 88058466.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66485087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606 + ... + 11642.

It is an arithmetic number, because the mean of its divisors is an integer number (2740374).

Almost surely, 266485088 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 66485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98653464).

66485088 is an abundant number, since it is smaller than the sum of its proper divisors (130821840).

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

66485088 is a wasteful number, since it uses less digits than its factorization.

66485088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 66485088 is about 8153.8388505047. The cubic root of 66485088 is about 405.1116655968. Note that the first 3 decimals are identical.

The spelling of 66485088 in words is "sixty-six million, four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 10037 20074 30111 40148 60222 80296 90333 120444 160592 180666 230851 240888 321184 361332 461702 481776 692553 722664 923404 963552 1385106 1445328 1846808 2077659 2770212 2890656 3693616 4155318 5540424 7387232 8310636 11080848 16621272 22161696 33242544 66485088