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8066976 = 253174943
BaseRepresentation
bin11110110001011110100000
3120011211210220
4132301132200
54031120401
6444523040
7125365611
oct36613640
916154726
108066976
11460a925
122850480
131895a78
1410ddc08
15a95336
hex7b17a0

8066976 has 48 divisors (see below), whose sum is σ = 22425984. Its totient is φ = 2530304.

The previous prime is 8066969. The next prime is 8066977. The reversal of 8066976 is 6796608.

It is a happy number.

8066976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×80669762 = 130152203569152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8066977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (467208).

Almost surely, 28066976 is an apocalyptic number.

It is an amenable number.

8066976 is an abundant number, since it is smaller than the sum of its proper divisors (14359008).

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

8066976 is a wasteful number, since it uses less digits than its factorization.

8066976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 8066976 is about 2840.2422431898. The cubic root of 8066976 is about 200.5565829735.

The spelling of 8066976 in words is "eight million, sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 4943 9886 14829 19772 29658 39544 59316 79088 84031 118632 158176 168062 237264 252093 336124 474528 504186 672248 1008372 1344496 2016744 2688992 4033488 8066976