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163148328 = 23327323707
BaseRepresentation
bin10011011100101…
…11001000101000
3102100222210102200
421232113020220
5313231221303
624104500200
74020511050
oct1156271050
9370883380
10163148328
1184102832
124677a660
1327a53795
141794c560
15e4ca3a3
hex9b97228

163148328 has 48 divisors (see below), whose sum is σ = 504984480. Its totient is φ = 46613664.

The previous prime is 163148311. The next prime is 163148339. The reversal of 163148328 is 823841361.

163148328 is a `hidden beast` number, since 16 + 314 + 8 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 163148292 and 163148301.

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 11 ways as a sum of consecutive naturals, for example, 161350 + ... + 162357.

It is an arithmetic number, because the mean of its divisors is an integer number (10520510).

Almost surely, 2163148328 is an apocalyptic number.

163148328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

163148328 is an abundant number, since it is smaller than the sum of its proper divisors (341836152).

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

163148328 is a wasteful number, since it uses less digits than its factorization.

163148328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323726 (or 323719 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 163148328 is about 12772.9529866824. The cubic root of 163148328 is about 546.4212021781.

Adding to 163148328 its reverse (823841361), we get a palindrome (986989689).

It can be divided in two parts, 16314 and 8328, that added together give a palindrome (24642).

The spelling of 163148328 in words is "one hundred sixty-three million, one hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 323707 647414 971121 1294828 1942242 2265949 2589656 2913363 3884484 4531898 5826726 6797847 7768968 9063796 11653452 13595694 18127592 20393541 23306904 27191388 40787082 54382776 81574164 163148328