Search a number
-
+
149817744 = 243210110301
BaseRepresentation
bin10001110111000…
…00100110010000
3101102220112022100
420323200212100
5301323131434
622511040400
73466300266
oct1073404620
9342815270
10149817744
117762831a
1242210100
1325066c6b
1415c7c436
15d245699
hex8ee0990

149817744 has 60 divisors (see below), whose sum is σ = 423474012. Its totient is φ = 49440000.

The previous prime is 149817737. The next prime is 149817749. The reversal of 149817744 is 447718941.

It is a happy number.

149817744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144000000 + 5817744 = 12000^2 + 2412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149817744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149817749) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9394 + ... + 19694.

Almost surely, 2149817744 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 149817744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211737006).

149817744 is an abundant number, since it is smaller than the sum of its proper divisors (273656268).

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

149817744 is a wasteful number, since it uses less digits than its factorization.

149817744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10407 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 149817744 is about 12240.0058823515. The cubic root of 149817744 is about 531.1140019308.

The spelling of 149817744 in words is "one hundred forty-nine million, eight hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 10301 14544 20602 30903 41204 61806 82408 92709 123612 164816 185418 247224 370836 494448 741672 1040401 1483344 2080802 3121203 4161604 6242406 8323208 9363609 12484812 16646416 18727218 24969624 37454436 49939248 74908872 149817744