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64662642 = 2321132699
BaseRepresentation
bin1111011010101…
…0110001110010
311111200012110200
43312222301302
5113023201032
610225540030
71413423552
oct366526162
9144605420
1064662642
1133556000
12197a4616
1310520325
148833162
155a2447c
hex3daac72

64662642 has 48 divisors (see below), whose sum is σ = 154159200. Its totient is φ = 19587480.

The previous prime is 64662613. The next prime is 64662667. The reversal of 64662642 is 24626646.

64662642 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64662597 and 64662606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22609 + ... + 25307.

It is an arithmetic number, because the mean of its divisors is an integer number (3211650).

Almost surely, 264662642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64662642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079600).

64662642 is an abundant number, since it is smaller than the sum of its proper divisors (89496558).

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

64662642 is a wasteful number, since it uses less digits than its factorization.

64662642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2715 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64662642 is about 8041.3084756151. The cubic root of 64662642 is about 401.3757669053.

The spelling of 64662642 in words is "sixty-four million, six hundred sixty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 2699 3993 5398 7986 8097 11979 16194 23958 24291 29689 48582 59378 89067 178134 267201 326579 534402 653158 979737 1959474 2939211 3592369 5878422 7184738 10777107 21554214 32331321 64662642