Search a number
-
+
1483102224 = 24342939461
BaseRepresentation
bin101100001100110…
…0101100000010000
310211100201101210000
41120121211200100
511014133232344
6403100010000
751516106122
oct13031454020
93740641700
101483102224
116a119971a
12354830900
131a8356ba6
14100d85212
158a30ca69
hex58665810

1483102224 has 100 divisors (see below), whose sum is σ = 4440658860. Its totient is φ = 477308160.

The previous prime is 1483102223. The next prime is 1483102277. The reversal of 1483102224 is 4222013841.

It can be written as a sum of positive squares in 2 ways, for example, as 611671824 + 871430400 = 24732^2 + 29520^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1483102223) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17854 + ... + 57314.

Almost surely, 21483102224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220329430).

1483102224 is an abundant number, since it is smaller than the sum of its proper divisors (2957556636).

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

1483102224 is a wasteful number, since it uses less digits than its factorization.

1483102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510 (or 39495 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1483102224 is about 38511.0662537406. The cubic root of 1483102224 is about 1140.3995275541.

The spelling of 1483102224 in words is "one billion, four hundred eighty-three million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 39461 78922 118383 157844 236766 315688 355149 473532 631376 710298 947064 1065447 1144369 1420596 1894128 2130894 2288738 2841192 3196341 3433107 4261788 4577476 5682384 6392682 6866214 8523576 9154952 10299321 12785364 13732428 17047152 18309904 20598642 25570728 27464856 30897963 41197284 51141456 54929712 61795926 82394568 92693889 123591852 164789136 185387778 247183704 370775556 494367408 741551112 1483102224