Search a number
-
+
146518368 = 2533794027
BaseRepresentation
bin10001011101110…
…11000101100000
3101012200220102020
420232323011200
5300002041433
622312221440
73426246153
oct1056730540
9335626366
10146518368
1175784467
124109a880
1324480279
141565dc9a
15cce2cb3
hex8bbb160

146518368 has 48 divisors (see below), whose sum is σ = 385721280. Its totient is φ = 48698496.

The previous prime is 146518357. The next prime is 146518381. The reversal of 146518368 is 863815641.

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

It is a super-2 number, since 2×1465183682 = 42935264322766848, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 34371 + ... + 38397.

It is an arithmetic number, because the mean of its divisors is an integer number (8035860).

Almost surely, 2146518368 is an apocalyptic number.

It is an amenable number.

146518368 is an abundant number, since it is smaller than the sum of its proper divisors (239202912).

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

146518368 is a wasteful number, since it uses less digits than its factorization.

146518368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4411 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 146518368 is about 12104.4771882143. The cubic root of 146518368 is about 527.1861889181.

The spelling of 146518368 in words is "one hundred forty-six million, five hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1137 1516 2274 3032 4027 4548 6064 8054 9096 12081 12128 16108 18192 24162 32216 36384 48324 64432 96648 128864 193296 386592 1526233 3052466 4578699 6104932 9157398 12209864 18314796 24419728 36629592 48839456 73259184 146518368