Search a number
-
+
148044072 = 233112961317
BaseRepresentation
bin10001101001011…
…11100100101000
3101022120102021210
420310233210220
5300344402242
622405033120
73445232241
oct1064574450
9338512253
10148044072
1176626780
12416b57a0
1324895857
1415939cc8
15cee4d9c
hex8d2f928

148044072 has 128 divisors (see below), whose sum is σ = 425865600. Its totient is φ = 42470400.

The previous prime is 148044049. The next prime is 148044097. The reversal of 148044072 is 270440841.

148044072 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466858 + ... + 467174.

It is an arithmetic number, because the mean of its divisors is an integer number (3327075).

Almost surely, 2148044072 is an apocalyptic number.

148044072 is a gapful number since it is divisible by the number (12) 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 148044072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932800).

148044072 is an abundant number, since it is smaller than the sum of its proper divisors (277821528).

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

148044072 is a wasteful number, since it uses less digits than its factorization.

148044072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 148044072 is about 12167.3362738111. The cubic root of 148044072 is about 529.0097470221.

The spelling of 148044072 in words is "one hundred forty-eight million, forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 61 66 87 88 116 122 132 174 183 232 244 264 317 319 348 366 488 634 638 671 696 732 951 957 1268 1276 1342 1464 1769 1902 1914 2013 2536 2552 2684 3487 3538 3804 3828 4026 5307 5368 6974 7076 7608 7656 8052 9193 10461 10614 13948 14152 16104 18386 19337 19459 20922 21228 27579 27896 36772 38674 38918 41844 42456 55158 58011 58377 73544 77348 77836 83688 101123 110316 116022 116754 154696 155672 202246 212707 220632 232044 233508 303369 404492 425414 464088 467016 560773 606738 638121 808984 850828 1121546 1213476 1276242 1682319 1701656 2243092 2426952 2552484 3364638 4486184 5104968 6168503 6729276 12337006 13458552 18505509 24674012 37011018 49348024 74022036 148044072