Search a number
-
+
147768288 = 2531539253
BaseRepresentation
bin10001100111011…
…00001111100000
3101022001101222120
420303230033200
5300312041123
622355104240
73443003223
oct1063541740
9338041876
10147768288
1176458558
12415a2080
13247ca175
14158a75ba
15ce8d2e3
hex8cec3e0

147768288 has 24 divisors (see below), whose sum is σ = 387892008. Its totient is φ = 49256064.

The previous prime is 147768281. The next prime is 147768317. The reversal of 147768288 is 882867741.

147768288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 147768288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147768281) 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 3 ways as a sum of consecutive naturals, for example, 769531 + ... + 769722.

It is an arithmetic number, because the mean of its divisors is an integer number (16162167).

Almost surely, 2147768288 is an apocalyptic number.

It is an amenable number.

147768288 is an abundant number, since it is smaller than the sum of its proper divisors (240123720).

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

147768288 is a wasteful number, since it uses less digits than its factorization.

147768288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539266 (or 1539258 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The square root of 147768288 is about 12155.9980256662. The cubic root of 147768288 is about 528.6810541135.

The spelling of 147768288 in words is "one hundred forty-seven million, seven hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1539253 3078506 4617759 6157012 9235518 12314024 18471036 24628048 36942072 49256096 73884144 147768288