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162443844 = 2232193147163
BaseRepresentation
bin10011010111010…
…11001001000100
3102022200000001200
421223223021010
5313041200334
624041422500
74011515133
oct1153531104
9368600050
10162443844
1183771512
124649aa30
1327867c24
141780791a
15e3db799
hex9aeb244

162443844 has 144 divisors (see below), whose sum is σ = 458465280. Its totient is φ = 48288960.

The previous prime is 162443843. The next prime is 162443851. The reversal of 162443844 is 448344261.

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

It is a junction number, because it is equal to n+sod(n) for n = 162443799 and 162443808.

It is not an unprimeable number, because it can be changed into a prime (162443843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 996507 + ... + 996669.

Almost surely, 2162443844 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 162443844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229232640).

162443844 is an abundant number, since it is smaller than the sum of its proper divisors (296021436).

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

162443844 is a wasteful number, since it uses less digits than its factorization.

162443844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 162443844 is about 12745.3459741193. The cubic root of 162443844 is about 545.6335745357.

The spelling of 162443844 in words is "one hundred sixty-two million, four hundred forty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 47 57 62 76 93 94 114 124 141 163 171 186 188 228 279 282 326 342 372 423 489 558 564 589 652 684 846 893 978 1116 1178 1457 1467 1692 1767 1786 1956 2356 2679 2914 2934 3097 3534 3572 4371 5053 5301 5358 5828 5868 6194 7068 7661 8037 8742 9291 10106 10602 10716 12388 13113 15159 15322 16074 17484 18582 20212 21204 22983 26226 27683 27873 30318 30644 32148 37164 45477 45966 52452 55366 55746 60636 68949 83049 90954 91932 96007 110732 111492 137898 145559 166098 181908 192014 237491 249147 275796 288021 291118 332196 384028 436677 474982 498294 576042 582236 712473 864063 873354 949964 996588 1152084 1310031 1424946 1728126 1746708 2137419 2620062 2849892 3456252 4274838 4512329 5240124 8549676 9024658 13536987 18049316 27073974 40610961 54147948 81221922 162443844