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66992256 = 273258153
BaseRepresentation
bin1111111110001…
…1100010000000
311200001120002200
43333203202000
5114122223011
610351513200
71442265462
oct377434200
9150046080
1066992256
11348a7301
121a528800
1310b577b6
148c7c132
155d34856
hex3fe3880

66992256 has 48 divisors (see below), whose sum is σ = 192780510. Its totient is φ = 22330368.

The previous prime is 66992243. The next prime is 66992267. The reversal of 66992256 is 65229966.

66992256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 14400 = 8184^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 27925 + ... + 30228.

Almost surely, 266992256 is an apocalyptic number.

It is an amenable number.

66992256 is an abundant number, since it is smaller than the sum of its proper divisors (125788254).

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

66992256 is a wasteful number, since it uses less digits than its factorization.

66992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58173 (or 58158 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 66992256 is about 8184.8797181144. The cubic root of 66992256 is about 406.1391613678.

The spelling of 66992256 in words is "sixty-six million, nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 58153 116306 174459 232612 348918 465224 523377 697836 930448 1046754 1395672 1860896 2093508 2791344 3721792 4187016 5582688 7443584 8374032 11165376 16748064 22330752 33496128 66992256