Search a number
-
+
163614444 = 22373761863
BaseRepresentation
bin10011100000010…
…00111011101100
3102101212110211020
421300020323230
5313341130234
624122454140
74024462020
oct1160107354
9371773736
10163614444
11843a0a54
1246964350
1327b879a6
1417a30380
15e56d549
hex9c08eec

163614444 has 96 divisors (see below), whose sum is σ = 455970816. Its totient is φ = 44686080.

The previous prime is 163614427. The next prime is 163614499. The reversal of 163614444 is 444416361.

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

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, 189157 + ... + 190019.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2163614444 is an apocalyptic number.

163614444 is a gapful number since it is divisible by the number (14) 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 163614444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

163614444 is an abundant number, since it is smaller than the sum of its proper divisors (292356372).

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

163614444 is a wasteful number, since it uses less digits than its factorization.

163614444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 163614444 is about 12791.1861842442. The cubic root of 163614444 is about 546.9410838846.

The spelling of 163614444 in words is "one hundred sixty-three million, six hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 61 74 84 111 122 148 183 222 244 259 366 427 444 518 732 777 854 863 1036 1281 1554 1708 1726 2257 2562 2589 3108 3452 4514 5124 5178 6041 6771 9028 10356 12082 13542 15799 18123 24164 27084 31598 31931 36246 47397 52643 63196 63862 72492 94794 95793 105286 127724 157929 189588 191586 210572 223517 315858 368501 383172 447034 631716 670551 737002 894068 1105503 1341102 1474004 1947791 2211006 2682204 3895582 4422012 5843373 7791164 11686746 13634537 23373492 27269074 40903611 54538148 81807222 163614444