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66562048 = 21174643
BaseRepresentation
bin1111110111101…
…0100000000000
311122020200222001
43331322200000
5114014441143
610334353344
71435524310
oct375724000
9148220861
1066562048
1134633063
121a35b854
1310a36a37
148ba9440
155c9c14d
hex3f7a800

66562048 has 48 divisors (see below), whose sum is σ = 152137440. Its totient is φ = 28520448.

The previous prime is 66562043. The next prime is 66562051. The reversal of 66562048 is 84026566.

It is a junction number, because it is equal to n+sod(n) for n = 66561998 and 66562016.

It is not an unprimeable number, because it can be changed into a prime (66562043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12015 + ... + 16657.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 266562048 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 66562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76068720).

66562048 is an abundant number, since it is smaller than the sum of its proper divisors (85575392).

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

66562048 is an equidigital number, since it uses as much as digits as its factorization.

66562048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 66562048 is about 8158.5567351095. The cubic root of 66562048 is about 405.2679180368.

The spelling of 66562048 in words is "sixty-six million, five hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4643 7168 9286 14336 18572 32501 37144 65002 74288 130004 148576 260008 297152 520016 594304 1040032 1188608 2080064 2377216 4160128 4754432 8320256 9508864 16640512 33281024 66562048