Search a number
-
+
66480288 = 253798929
BaseRepresentation
bin1111110110011…
…0100010100000
311122002112210220
43331212202200
5114004332123
610332523040
71435034040
oct375464240
9148075726
1066480288
1134587696
121a320480
1310a08764
148b87720
155c82ce3
hex3f668a0

66480288 has 48 divisors (see below), whose sum is σ = 199442880. Its totient is φ = 18994176.

The previous prime is 66480269. The next prime is 66480307. The reversal of 66480288 is 88208466.

66480288 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 (66480269) and next prime (66480307).

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 (42).

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, 48793 + ... + 50136.

It is an arithmetic number, because the mean of its divisors is an integer number (4155060).

Almost surely, 266480288 is an apocalyptic number.

It is an amenable number.

66480288 is an abundant number, since it is smaller than the sum of its proper divisors (132962592).

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

66480288 is a wasteful number, since it uses less digits than its factorization.

66480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98949 (or 98941 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 66480288 is about 8153.5445053057. The cubic root of 66480288 is about 405.1019161284.

The spelling of 66480288 in words is "sixty-six million, four hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 98929 197858 296787 395716 593574 692503 791432 1187148 1385006 1582864 2077509 2374296 2770012 3165728 4155018 4748592 5540024 8310036 9497184 11080048 16620072 22160096 33240144 66480288