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148048056 = 2332132233
BaseRepresentation
bin10001101001100…
…00100010111000
3101022120121202100
420310300202320
5300400014211
622405103400
73445246662
oct1064604270
9338517670
10148048056
1176629772
12416b7b60
1324897600
141593b532
15cee6156
hex8d308b8

148048056 has 144 divisors (see below), whose sum is σ = 453913200. Its totient is φ = 43572672.

The previous prime is 148048003. The next prime is 148048067. The reversal of 148048056 is 650840841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

148048056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148048056.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6436861 + ... + 6436883.

It is an arithmetic number, because the mean of its divisors is an integer number (3152175).

Almost surely, 2148048056 is an apocalyptic number.

It is a pronic number, being equal to 12167×12168.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148048056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226956600).

148048056 is an abundant number, since it is smaller than the sum of its proper divisors (305865144).

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

148048056 is a wasteful number, since it uses less digits than its factorization.

148048056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 148048056 is about 12167.4999897267. The cubic root of 148048056 is about 529.0144923566.

Adding to 148048056 its reverse (650840841), we get a palindrome (798888897).

The spelling of 148048056 in words is "one hundred forty-eight million, forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 169 184 207 234 276 299 312 338 414 468 507 529 552 598 676 828 897 936 1014 1058 1196 1352 1521 1587 1656 1794 2028 2116 2392 2691 3042 3174 3588 3887 4056 4232 4761 5382 6084 6348 6877 7176 7774 9522 10764 11661 12167 12168 12696 13754 15548 19044 20631 21528 23322 24334 27508 31096 34983 36501 38088 41262 46644 48668 55016 61893 69966 73002 82524 89401 93288 97336 109503 123786 139932 146004 158171 165048 178802 219006 247572 268203 279864 292008 316342 357604 438012 474513 495144 536406 632684 715208 804609 876024 949026 1072812 1265368 1423539 1609218 1898052 2056223 2145624 2847078 3218436 3796104 4112446 5694156 6168669 6436872 8224892 11388312 12337338 16449784 18506007 24674676 37012014 49349352 74024028 148048056