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66448240 = 2451748859
BaseRepresentation
bin1111110101111…
…0101101110000
311122000220211221
43331132231300
5114002320430
610332114424
71434541435
oct375365560
9148026757
1066448240
1134565601
121a305a14
13109c6cb1
148b79b8c
155c7857a
hex3f5eb70

66448240 has 40 divisors (see below), whose sum is σ = 163583280. Its totient is φ = 25015296.

The previous prime is 66448231. The next prime is 66448241. The reversal of 66448240 is 4284466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 66448196 and 66448205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66448241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23070 + ... + 25789.

It is an arithmetic number, because the mean of its divisors is an integer number (4089582).

Almost surely, 266448240 is an apocalyptic number.

It is an amenable number.

66448240 is an abundant number, since it is smaller than the sum of its proper divisors (97135040).

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

66448240 is a wasteful number, since it uses less digits than its factorization.

66448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48889 (or 48883 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 66448240 is about 8151.5789881470. The cubic root of 66448240 is about 405.0368101481.

It can be divided in two parts, 6644 and 8240, that added together give a square (14884 = 1222).

The spelling of 66448240 in words is "sixty-six million, four hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 48859 97718 195436 244295 390872 488590 781744 830603 977180 1661206 1954360 3322412 3908720 4153015 6644824 8306030 13289648 16612060 33224120 66448240