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150652112 = 24131494861
BaseRepresentation
bin10001111101011…
…00010011010000
3101111110220211212
420332230103100
5302031331422
622540555252
73506343662
oct1076542320
9344426755
10150652112
1178048186
1242552b28
1325299980
1416018532
15d35c9e2
hex8fac4d0

150652112 has 40 divisors (see below), whose sum is σ = 316516200. Its totient is φ = 69050880.

The previous prime is 150652111. The next prime is 150652141. The reversal of 150652112 is 211256051.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 142945936 = 2776^2 + 11956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150652111) 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 7 ways as a sum of consecutive naturals, for example, 28562 + ... + 33422.

It is an arithmetic number, because the mean of its divisors is an integer number (7912905).

Almost surely, 2150652112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150652112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158258100).

150652112 is an abundant number, since it is smaller than the sum of its proper divisors (165864088).

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

150652112 is a wasteful number, since it uses less digits than its factorization.

150652112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 150652112 is about 12274.0422029582. The cubic root of 150652112 is about 532.0981408255.

The spelling of 150652112 in words is "one hundred fifty million, six hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 596 1192 1937 2384 3874 4861 7748 9722 15496 19444 30992 38888 63193 77776 126386 252772 505544 724289 1011088 1448578 2897156 5794312 9415757 11588624 18831514 37663028 75326056 150652112