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8067978 = 233532819
BaseRepresentation
bin11110110001101110001010
3120011220012000
4132301232022
54031133403
6444531430
7125401542
oct36615612
916156160
108067978
114610656
122850b76
131896369
141100322
15a957a3
hex7b1b8a

8067978 has 32 divisors (see below), whose sum is σ = 18273600. Its totient is φ = 2637648.

The previous prime is 8067959. The next prime is 8067991. The reversal of 8067978 is 8797608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (571050).

Almost surely, 28067978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8067978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136800).

8067978 is an abundant number, since it is smaller than the sum of its proper divisors (10205622).

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

8067978 is a wasteful number, since it uses less digits than its factorization.

8067978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8067978 is about 2840.4186311176. The cubic root of 8067978 is about 200.5648863483.

It can be divided in two parts, 8067 and 978, that added together give a triangular number (9045 = T134).

The spelling of 8067978 in words is "eight million, sixty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2819 2862 5638 8457 16914 25371 50742 76113 149407 152226 298814 448221 896442 1344663 2689326 4033989 8067978