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66976032 = 2533671901
BaseRepresentation
bin1111111101111…
…1100100100000
311200000201211210
43333133210200
5114121213112
610351310120
71442200254
oct377374440
9150021753
1066976032
11348960a2
121a51b340
1310b502b6
148c76264
155d2eb3c
hex3fdf920

66976032 has 48 divisors (see below), whose sum is σ = 176383872. Its totient is φ = 22252800.

The previous prime is 66976009. The next prime is 66976067. The reversal of 66976032 is 23067966.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34282 + ... + 36182.

It is an arithmetic number, because the mean of its divisors is an integer number (3674664).

Almost surely, 266976032 is an apocalyptic number.

It is an amenable number.

66976032 is an abundant number, since it is smaller than the sum of its proper divisors (109407840).

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

66976032 is a wasteful number, since it uses less digits than its factorization.

66976032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 66976032 is about 8183.8885622912. Note that the first 3 decimals coincide. The cubic root of 66976032 is about 406.1063728330.

The spelling of 66976032 in words is "sixty-six million, nine hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 1901 2202 2936 3802 4404 5703 5872 7604 8808 11406 11744 15208 17616 22812 30416 35232 45624 60832 91248 182496 697667 1395334 2093001 2790668 4186002 5581336 8372004 11162672 16744008 22325344 33488016 66976032