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150641928 = 23322092249
BaseRepresentation
bin10001111101010…
…01110100001000
3101111110101212200
420332221310020
5302031020203
622540440200
73506302203
oct1076516410
9344411780
10150641928
1178040568
1242549060
1325295148
141601493a
15d3599a3
hex8fa9d08

150641928 has 24 divisors (see below), whose sum is σ = 407988750. Its totient is φ = 50213952.

The previous prime is 150641923. The next prime is 150641941. The reversal of 150641928 is 829146051.

150641928 is a `hidden beast` number, since 1 + 5 + 0 + 641 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85710564 + 64931364 = 9258^2 + 8058^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150641892 and 150641901.

It is not an unprimeable number, because it can be changed into a prime (150641923) 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 5 ways as a sum of consecutive naturals, for example, 1046053 + ... + 1046196.

Almost surely, 2150641928 is an apocalyptic number.

150641928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150641928 is an abundant number, since it is smaller than the sum of its proper divisors (257346822).

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

150641928 is a wasteful number, since it uses less digits than its factorization.

150641928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092261 (or 2092254 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 150641928 is about 12273.6273366923. The cubic root of 150641928 is about 532.0861507080.

Adding to 150641928 its reverse (829146051), we get a palindrome (979787979).

It can be divided in two parts, 1506 and 41928, that added together give a palindrome (43434).

The spelling of 150641928 in words is "one hundred fifty million, six hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2092249 4184498 6276747 8368996 12553494 16737992 18830241 25106988 37660482 50213976 75320964 150641928