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66848355 = 3357127557
BaseRepresentation
bin1111111100000…
…0011001100011
311122210020201000
43333000121203
5114103121410
610344443043
71441126110
oct377003143
9148706630
1066848355
1134809182
121a479483
1310b07152
148c41907
155d06dc0
hex3fc0663

66848355 has 64 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 30264192.

The previous prime is 66848347. The next prime is 66848389. The reversal of 66848355 is 55384866.

It is not a de Polignac number, because 66848355 - 23 = 66848347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66848355.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119737 + ... + 120293.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 266848355 is an apocalyptic number.

66848355 is an abundant number, since it is smaller than the sum of its proper divisors (70285725).

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

66848355 is a wasteful number, since it uses less digits than its factorization.

66848355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 66848355 is about 8176.0843317569. The cubic root of 66848355 is about 405.8481539627.

The spelling of 66848355 in words is "sixty-six million, eight hundred forty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 127 135 189 315 381 557 635 889 945 1143 1671 1905 2667 2785 3429 3899 4445 5013 5715 8001 8355 11697 13335 15039 17145 19495 24003 25065 35091 40005 58485 70739 75195 105273 120015 175455 212217 353695 495173 526365 636651 1061085 1485519 1909953 2475865 3183255 4456557 7427595 9549765 13369671 22282785 66848355