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66825984 = 28387013
BaseRepresentation
bin1111111011101…
…0111100000000
311122202010000110
43332322330000
5114101412414
610344151320
71441003641
oct376727400
9148663013
1066825984
11347a3395
121a468540
1310ac9c04
148c376c8
155d00459
hex3fbaf00

66825984 has 36 divisors (see below), whose sum is σ = 177856616. Its totient is φ = 22275072.

The previous prime is 66825977. The next prime is 66826009. The reversal of 66825984 is 48952866.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42739 + ... + 44274.

Almost surely, 266825984 is an apocalyptic number.

66825984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66825984 is an abundant number, since it is smaller than the sum of its proper divisors (111030632).

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

66825984 is an equidigital number, since it uses as much as digits as its factorization.

66825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87032 (or 87018 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 66825984 is about 8174.7161418608. The cubic root of 66825984 is about 405.8028761493.

It can be divided in two parts, 6 and 6825984, that multiplied together give a palindrome (40955904).

The spelling of 66825984 in words is "sixty-six million, eight hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 87013 174026 261039 348052 522078 696104 1044156 1392208 2088312 2784416 4176624 5568832 8353248 11137664 16706496 22275328 33412992 66825984