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66079488 = 283139619
BaseRepresentation
bin1111110000010…
…0101100000000
311121100012000110
43330010230000
5113404020423
610320151320
71431444366
oct374045400
9147305013
1066079488
1134333552
121a168540
13108c81b7
148ac1636
155c04193
hex3f04b00

66079488 has 72 divisors (see below), whose sum is σ = 177419200. Its totient is φ = 21832704.

The previous prime is 66079477. The next prime is 66079543. The reversal of 66079488 is 88497066.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106443 + ... + 107061.

Almost surely, 266079488 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 66079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88709600).

66079488 is an abundant number, since it is smaller than the sum of its proper divisors (111339712).

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

66079488 is a wasteful number, since it uses less digits than its factorization.

66079488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 66079488 is about 8128.9290807584. The cubic root of 66079488 is about 404.2861743924.

The spelling of 66079488 in words is "sixty-six million, seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 619 768 834 1112 1238 1668 1857 2224 2476 3336 3714 4448 4952 6672 7428 8896 9904 13344 14856 17792 19808 26688 29712 35584 39616 53376 59424 79232 86041 106752 118848 158464 172082 237696 258123 344164 475392 516246 688328 1032492 1376656 2064984 2753312 4129968 5506624 8259936 11013248 16519872 22026496 33039744 66079488