Search a number
-
+
148229856 = 2532895783
BaseRepresentation
bin10001101010111…
…00111011100000
3101022220212010200
420311130323200
5300421323411
622413025200
73446635005
oct1065347340
9338825120
10148229856
1176743315
1241785200
132492c298
14159878ac
15d02ee56
hex8d5cee0

148229856 has 72 divisors (see below), whose sum is σ = 426338640. Its totient is φ = 48846336.

The previous prime is 148229831. The next prime is 148229857. The reversal of 148229856 is 658922841.

148229856 is digitally balanced in base 2, 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 (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148229857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22741 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (5921370).

Almost surely, 2148229856 is an apocalyptic number.

148229856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148229856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213169320).

148229856 is an abundant number, since it is smaller than the sum of its proper divisors (278108784).

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

148229856 is a wasteful number, since it uses less digits than its factorization.

148229856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 148229856 is about 12174.9684188502. The cubic root of 148229856 is about 529.2309434586.

The spelling of 148229856 in words is "one hundred forty-eight million, two hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 5783 6408 8544 11566 12816 17349 23132 25632 34698 46264 52047 69396 92528 104094 138792 185056 208188 277584 416376 514687 555168 832752 1029374 1544061 1665504 2058748 3088122 4117496 4632183 6176244 8234992 9264366 12352488 16469984 18528732 24704976 37057464 49409952 74114928 148229856