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66568424 = 2313253929
BaseRepresentation
bin1111110111110…
…0000011101000
311122021000201012
43331330003220
5114020142144
610334443052
71435552016
oct375740350
9148230635
1066568424
113463792a
121a363488
1310a39900
148bab8b6
155c9de9e
hex3f7c0e8

66568424 has 48 divisors (see below), whose sum is σ = 137853900. Its totient is φ = 30111744.

The previous prime is 66568421. The next prime is 66568433. The reversal of 66568424 is 42486566.

66568424 = T491 + T492 + ... + T802.

It can be written as a sum of positive squares in 6 ways, for example, as 2280100 + 64288324 = 1510^2 + 8018^2 .

It is not an unprimeable number, because it can be changed into a prime (66568421) 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, 71192 + ... + 72120.

Almost surely, 266568424 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 66568424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68926950).

66568424 is an abundant number, since it is smaller than the sum of its proper divisors (71285476).

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

66568424 is a wasteful number, since it uses less digits than its factorization.

66568424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 997 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 66568424 is about 8158.9474811400. The cubic root of 66568424 is about 405.2808578718.

It can be divided in two parts, 6656 and 8424, that multiplied together give a square (56070144 = 74882).

The spelling of 66568424 in words is "sixty-six million, five hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 929 1352 1378 1858 2756 3716 5512 7432 8957 12077 17914 24154 35828 48308 49237 71656 96616 98474 157001 196948 314002 393896 628004 640081 1256008 1280162 2560324 5120648 8321053 16642106 33284212 66568424