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66618448 = 2413271347
BaseRepresentation
bin1111111000100…
…0010001010000
311122100120022221
43332020101100
5114023242243
610335510424
71436150611
oct376102120
9148316287
1066618448
1134671476
121a388414
1310a56600
148bc1c08
155cadbed
hex3f88450

66618448 has 60 divisors (see below), whose sum is σ = 142142688. Its totient is φ = 30226560.

The previous prime is 66618421. The next prime is 66618457. The reversal of 66618448 is 84481666.

It is a super-2 number, since 2×666184482 = 8876035227857408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191811 + ... + 192157.

Almost surely, 266618448 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 66618448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71071344).

66618448 is an abundant number, since it is smaller than the sum of its proper divisors (75524240).

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

66618448 is a wasteful number, since it uses less digits than its factorization.

66618448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 66618448 is about 8162.0124969275. The cubic root of 66618448 is about 405.3823509029.

The spelling of 66618448 in words is "sixty-six million, six hundred eighteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 169 208 284 338 347 568 676 694 923 1136 1352 1388 1846 2704 2776 3692 4511 5552 7384 9022 11999 14768 18044 23998 24637 36088 47996 49274 58643 72176 95992 98548 117286 191984 197096 234572 320281 394192 469144 640562 938288 1281124 2562248 4163653 5124496 8327306 16654612 33309224 66618448