Search a number
-
+
155875968 = 2733233753
BaseRepresentation
bin10010100101001…
…11101010000000
3101212022022122000
421102213222000
5304401012333
623244544000
73601631613
oct1122475200
9355268560
10155875968
117aa95a16
1244252000
13263a8601
14169b817a
15da40713
hex94a7a80

155875968 has 256 divisors, whose sum is σ = 502329600. Its totient is φ = 47443968.

The previous prime is 155875921. The next prime is 155876003. The reversal of 155875968 is 869578551.

155875968 is a `hidden beast` number, since 1 + 5 + 587 + 59 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 2941030 + ... + 2941082.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2155875968 is an apocalyptic number.

155875968 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 155875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

155875968 is an abundant number, since it is smaller than the sum of its proper divisors (346453632).

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

155875968 is a wasteful number, since it uses less digits than its factorization.

155875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The square root of 155875968 is about 12485.0297556714. The cubic root of 155875968 is about 538.1785544438.

The spelling of 155875968 in words is "one hundred fifty-five million, eight hundred seventy-five thousand, nine hundred sixty-eight".