Search a number
-
+
154385568 = 25331723457
BaseRepresentation
bin10010011001110…
…11110010100000
3101202111121012000
421030323302200
5304010314233
623153004000
73553153461
oct1114736240
9352447160
10154385568
117a168187
1243853600
1325ca610c
141670ad68
15d848d13
hex933bca0

154385568 has 192 divisors, whose sum is σ = 498597120. Its totient is φ = 46227456.

The previous prime is 154385563. The next prime is 154385587. The reversal of 154385568 is 865583451.

154385568 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 85 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (154385563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 337596 + ... + 338052.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2154385568 is an apocalyptic number.

154385568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298560).

154385568 is an abundant number, since it is smaller than the sum of its proper divisors (344211552).

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

154385568 is a wasteful number, since it uses less digits than its factorization.

154385568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 154385568 is about 12425.1989118887. The cubic root of 154385568 is about 536.4578029787.

The spelling of 154385568 in words is "one hundred fifty-four million, three hundred eighty-five thousand, five hundred sixty-eight".