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67864644 = 223213732
BaseRepresentation
bin1000000101110…
…00100001000100
311201200212210100
410002320201010
5114333132034
610422324100
71452561051
oct402704104
9151625710
1067864644
1135342791
121a889630
13110a18c3
149028028
155e58099
hex40b8844

67864644 has 27 divisors (see below), whose sum is σ = 171671773. Its totient is φ = 22605072.

The previous prime is 67864631. The next prime is 67864661. The reversal of 67864644 is 44646876.

The square root of 67864644 is 8238.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 788544 = 8190^2 + 888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67864644.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48742 + ... + 50114.

Almost surely, 267864644 is an apocalyptic number.

67864644 is the 8238-th square number.

It is an amenable number.

67864644 is an abundant number, since it is smaller than the sum of its proper divisors (103807129).

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

67864644 is a wasteful number, since it uses less digits than its factorization.

67864644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 1378 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The cubic root of 67864644 is about 407.8945084822.

The spelling of 67864644 in words is "sixty-seven million, eight hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1373 2746 4119 5492 8238 12357 16476 24714 49428 1885129 3770258 5655387 7540516 11310774 16966161 22621548 33932322 67864644