Search a number
-
+
154441056 = 253711171229
BaseRepresentation
bin10010011010010…
…01010101100000
3101202121102022010
421031021111200
5304014103211
623154112520
73553504320
oct1115112540
9352542263
10154441056
117a1a5940
124387b740
1325cc5453
1416723280
15d85a4a6
hex9349560

154441056 has 192 divisors, whose sum is σ = 535610880. Its totient is φ = 37724160.

The previous prime is 154441051. The next prime is 154441069. The reversal of 154441056 is 650144451.

154441056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1544410563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154441051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125050 + ... + 126278.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2154441056 is an apocalyptic number.

154441056 is a gapful number since it is divisible by the number (16) 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 154441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267805440).

154441056 is an abundant number, since it is smaller than the sum of its proper divisors (381169824).

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

154441056 is a wasteful number, since it uses less digits than its factorization.

154441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 154441056 is about 12427.4315930525. The cubic root of 154441056 is about 536.5220650412.

The spelling of 154441056 in words is "one hundred fifty-four million, four hundred forty-one thousand, fifty-six".