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66650896 = 241321572
BaseRepresentation
bin1111111001000…
…0001100010000
311122102012211201
43332100030100
5114030312041
610340320544
71436344324
oct376201420
9148365751
1066650896
1134693894
121a3a3154
1310a68300
148bcd984
155cb8631
hex3f90310

66650896 has 45 divisors (see below), whose sum is σ = 140730111. Its totient is φ = 30566016.

The previous prime is 66650873. The next prime is 66650921. The reversal of 66650896 is 69805666.

The square root of 66650896 is 8164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 45158400 = 4636^2 + 6720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 424450 + ... + 424606.

Almost surely, 266650896 is an apocalyptic number.

66650896 is the 8164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66650896

66650896 is an abundant number, since it is smaller than the sum of its proper divisors (74079215).

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

66650896 is a wasteful number, since it uses less digits than its factorization.

66650896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The cubic root of 66650896 is about 405.4481570566.

The spelling of 66650896 in words is "sixty-six million, six hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 157 169 208 314 338 628 676 1256 1352 2041 2512 2704 4082 8164 16328 24649 26533 32656 49298 53066 98596 106132 197192 212264 320437 394384 424528 640874 1281748 2563496 4165681 5126992 8331362 16662724 33325448 66650896