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66445248 = 2631720357
BaseRepresentation
bin1111110101110…
…1111111000000
311122000202202010
43331131333000
5114002221443
610332052520
71434526632
oct375357700
9148022663
1066445248
1134563331
121a304140
13109c581c
148b78a52
155c77733
hex3f5dfc0

66445248 has 56 divisors (see below), whose sum is σ = 186153552. Its totient is φ = 20844544.

The previous prime is 66445237. The next prime is 66445259. The reversal of 66445248 is 84254466.

It is an interprime number because it is at equal distance from previous prime (66445237) and next prime (66445259).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6915 + ... + 13442.

Almost surely, 266445248 is an apocalyptic number.

66445248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66445248 is an abundant number, since it is smaller than the sum of its proper divisors (119708304).

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

66445248 is a wasteful number, since it uses less digits than its factorization.

66445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20389 (or 20379 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 66445248 is about 8151.3954633547. The cubic root of 66445248 is about 405.0307307881.

The spelling of 66445248 in words is "sixty-six million, four hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 20357 40714 61071 81428 122142 162856 244284 325712 346069 488568 651424 692138 977136 1038207 1302848 1384276 1954272 2076414 2768552 3908544 4152828 5537104 8305656 11074208 16611312 22148416 33222624 66445248