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66896992 = 254361797
BaseRepresentation
bin1111111100110…
…0010001100000
311122212201102101
43333030101200
5114111200432
610345500144
71441420651
oct377142140
9148781371
1066896992
1134841778
121a4a1654
1310b23326
148c55528
155d164e7
hex3fcc460

66896992 has 48 divisors (see below), whose sum is σ = 137147472. Its totient is φ = 32094720.

The previous prime is 66896983. The next prime is 66897001. The reversal of 66896992 is 29969866.

66896992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66896983) and next prime (66897001).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83538 + ... + 84334.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239).

Almost surely, 266896992 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 66896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68573736).

66896992 is an abundant number, since it is smaller than the sum of its proper divisors (70250480).

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

66896992 is a wasteful number, since it uses less digits than its factorization.

66896992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 55.

The square root of 66896992 is about 8179.0581364849. The cubic root of 66896992 is about 405.9465580365.

The spelling of 66896992 in words is "sixty-six million, eight hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 797 976 1376 1594 1952 2623 3188 5246 6376 10492 12752 20984 25504 34271 41968 48617 68542 83936 97234 137084 194468 274168 388936 548336 777872 1096672 1555744 2090531 4181062 8362124 16724248 33448496 66896992