Search a number
-
+
149731248 = 2431928641
BaseRepresentation
bin10001110110010…
…11011110110000
3101102202010122210
420323023132300
5301312344443
622505132120
73465460152
oct1073133660
9342663583
10149731248
1177579337
124218a040
1325036794
1415c58ad2
15d229c33
hex8ecb7b0

149731248 has 60 divisors (see below), whose sum is σ = 408282648. Its totient is φ = 47278080.

The previous prime is 149731213. The next prime is 149731277. The reversal of 149731248 is 842137941.

149731248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13008 + ... + 21648.

Almost surely, 2149731248 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 149731248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204141324).

149731248 is an abundant number, since it is smaller than the sum of its proper divisors (258551400).

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

149731248 is a wasteful number, since it uses less digits than its factorization.

149731248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8665 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 149731248 is about 12236.4720405842. The cubic root of 149731248 is about 531.0117708705.

The spelling of 149731248 in words is "one hundred forty-nine million, seven hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 4332 5776 8641 8664 17282 17328 25923 34564 51846 69128 103692 138256 164179 207384 328358 414768 492537 656716 985074 1313432 1970148 2626864 3119401 3940296 6238802 7880592 9358203 12477604 18716406 24955208 37432812 49910416 74865624 149731248