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150052986 = 236971061
BaseRepresentation
bin10001111000110…
…10000001111010
3101110100111000000
420330122001322
5301403143421
622520053430
73501300156
oct1074320172
9343314000
10150052986
1177779036
1242304276
132511a065
1415d00066
15d290226
hex8f1a07a

150052986 has 56 divisors (see below), whose sum is σ = 341265204. Its totient is φ = 49455360.

The previous prime is 150052967. The next prime is 150052993. The reversal of 150052986 is 689250051.

It is a happy number.

150052986 is a `hidden beast` number, since 1 + 50 + 0 + 529 + 86 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149597361 + 455625 = 12231^2 + 675^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150052986.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 140896 + ... + 141956.

Almost surely, 2150052986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150052986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170632602).

150052986 is an abundant number, since it is smaller than the sum of its proper divisors (191212218).

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

150052986 is an equidigital number, since it uses as much as digits as its factorization.

150052986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 150052986 is about 12249.6116673142. The cubic root of 150052986 is about 531.3918394784.

The spelling of 150052986 in words is "one hundred fifty million, fifty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 729 873 1061 1458 1746 2122 2619 3183 5238 6366 7857 9549 15714 19098 23571 28647 47142 57294 70713 85941 102917 141426 171882 205834 257823 308751 515646 617502 773469 926253 1546938 1852506 2778759 5557518 8336277 16672554 25008831 50017662 75026493 150052986