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146795008 = 29409701
BaseRepresentation
bin10001011111111…
…10101000000000
3101020012221220011
420233332220000
5300034420013
622322154304
73431510533
oct1057765000
9336187804
10146795008
1175953298
12411b2994
1324549169
14156d2a1a
15cd49c3d
hex8bfea00

146795008 has 40 divisors (see below), whose sum is σ = 294439860. Its totient is φ = 73113600.

The previous prime is 146794957. The next prime is 146795041. The reversal of 146795008 is 800597641.

146795008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119421184 + 27373824 = 10928^2 + 5232^2 .

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 3 ways as a sum of consecutive naturals, for example, 209058 + ... + 209758.

Almost surely, 2146795008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147219930).

146795008 is an abundant number, since it is smaller than the sum of its proper divisors (147644852).

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

146795008 is an frugal number, since it uses more digits than its factorization.

146795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 146795008 is about 12115.8989761387. The cubic root of 146795008 is about 527.5177721377.

The spelling of 146795008 in words is "one hundred forty-six million, seven hundred ninety-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 701 818 1402 1636 2804 3272 5608 6544 11216 13088 22432 26176 44864 52352 89728 104704 179456 209408 286709 358912 573418 1146836 2293672 4587344 9174688 18349376 36698752 73397504 146795008