Search a number
-
+
1628244618 = 2372111338729
BaseRepresentation
bin110000100001101…
…0000101010001010
311012110211101201020
41201003100222022
511313312311433
6425322533310
755230564600
oct14103205212
94173741636
101628244618
11766113310
12395367236
131cc444a70
14116367870
1597e2ccb3
hex610d0a8a

1628244618 has 96 divisors (see below), whose sum is σ = 4450541760. Its totient is φ = 390378240.

The previous prime is 1628244571. The next prime is 1628244637. The reversal of 1628244618 is 8164428261.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1628244618.

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 47 ways as a sum of consecutive naturals, for example, 22678 + ... + 61406.

It is an arithmetic number, because the mean of its divisors is an integer number (46359810).

Almost surely, 21628244618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628244618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225270880).

1628244618 is an abundant number, since it is smaller than the sum of its proper divisors (2822297142).

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

1628244618 is a wasteful number, since it uses less digits than its factorization.

1628244618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772 (or 38765 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 1628244618 is about 40351.5132058266. The cubic root of 1628244618 is about 1176.4493039401.

The spelling of 1628244618 in words is "one billion, six hundred twenty-eight million, two hundred forty-four thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 858 1001 1078 1274 1617 1911 2002 3003 3234 3822 6006 7007 14014 21021 38729 42042 77458 116187 232374 271103 426019 503477 542206 813309 852038 1006954 1278057 1510431 1626618 1897721 2556114 2982133 3020862 3524339 3795442 5538247 5693163 5964266 7048678 8946399 10573017 11076494 11386326 16614741 17892798 20874931 21146034 24670373 33229482 38767729 41749862 49340746 62624793 74011119 77535458 116303187 125249586 148022238 232606374 271374103 542748206 814122309 1628244618