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66246912 = 283228753
BaseRepresentation
bin1111110010110…
…1100100000000
311121122200200100
43330231210000
5113424400122
610323522400
71433042454
oct374554400
9147580610
1066246912
1134438316
121a229400
1310956474
148b26664
155c38aac
hex3f2d900

66246912 has 54 divisors (see below), whose sum is σ = 191012822. Its totient is φ = 22081536.

The previous prime is 66246889. The next prime is 66246913. The reversal of 66246912 is 21964266.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 1218816 = 8064^2 + 1104^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66246913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12073 + ... + 16680.

Almost surely, 266246912 is an apocalyptic number.

It is an amenable number.

66246912 is an abundant number, since it is smaller than the sum of its proper divisors (124765910).

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

66246912 is a wasteful number, since it uses less digits than its factorization.

66246912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28775 (or 28758 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 66246912 is about 8139.2206015072. The cubic root of 66246912 is about 404.6273297949.

It can be divided in two parts, 662 and 46912, that added together give a palindrome (47574).

The spelling of 66246912 in words is "sixty-six million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 28753 57506 86259 115012 172518 230024 258777 345036 460048 517554 690072 920096 1035108 1380144 1840192 2070216 2760288 3680384 4140432 5520576 7360768 8280864 11041152 16561728 22082304 33123456 66246912