Search a number
-
+
158545728 = 26331119439
BaseRepresentation
bin10010111001100…
…11011101000000
3102001022221212000
421130303131000
5311041430403
623422104000
73633421305
oct1134633500
9361287760
10158545728
1181549830
124511b000
1326b01853
14170b10ac
15ddbb7a3
hex9733740

158545728 has 224 divisors, whose sum is σ = 536448000. Its totient is φ = 45411840.

The previous prime is 158545727. The next prime is 158545733. The reversal of 158545728 is 827545851.

158545728 is a `hidden beast` number, since 1 + 585 + 45 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158545721) 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, 360933 + ... + 361371.

Almost surely, 2158545728 is an apocalyptic number.

158545728 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 158545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268224000).

158545728 is an abundant number, since it is smaller than the sum of its proper divisors (377902272).

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

158545728 is a wasteful number, since it uses less digits than its factorization.

158545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 158545728 is about 12591.4942719282. The cubic root of 158545728 is about 541.2337224133.

The spelling of 158545728 in words is "one hundred fifty-eight million, five hundred forty-five thousand, seven hundred twenty-eight".