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66278496 = 2533122271
BaseRepresentation
bin1111110011010…
…1010001100000
311121201022000010
43330311101200
5113431402441
610324324520
71433233524
oct374652140
9147638003
1066278496
113445a019
121a243740
131096795b
148b33d84
155c43116
hex3f35460

66278496 has 48 divisors (see below), whose sum is σ = 179601408. Its totient is φ = 21379200.

The previous prime is 66278491. The next prime is 66278539. The reversal of 66278496 is 69487266.

66278496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66278491) by changing a digit.

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, 8160 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (3741696).

Almost surely, 266278496 is an apocalyptic number.

It is an amenable number.

66278496 is an abundant number, since it is smaller than the sum of its proper divisors (113322912).

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

66278496 is a wasteful number, since it uses less digits than its factorization.

66278496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22315 (or 22307 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 66278496 is about 8141.1606052209. The cubic root of 66278496 is about 404.6916232025.

The spelling of 66278496 in words is "sixty-six million, two hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 22271 44542 66813 89084 133626 178168 267252 356336 534504 690401 712672 1069008 1380802 2071203 2138016 2761604 4142406 5523208 8284812 11046416 16569624 22092832 33139248 66278496