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162000048 = 243731103151
BaseRepresentation
bin10011010011111…
…10110010110000
3102021211110021210
421221332302300
5312433000143
624024120120
74004656230
oct1151766260
9367743253
10162000048
1183499041
1246306040
1327740c22
141772dcc0
15e350033
hex9a7ecb0

162000048 has 160 divisors (see below), whose sum is σ = 501809152. Its totient is φ = 44064000.

The previous prime is 162000043. The next prime is 162000071. The reversal of 162000048 is 840000261.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 161999988 and 162000033.

It is not an unprimeable number, because it can be changed into a prime (162000043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072773 + ... + 1072923.

Almost surely, 2162000048 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 162000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250904576).

162000048 is an abundant number, since it is smaller than the sum of its proper divisors (339809104).

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

162000048 is a wasteful number, since it uses less digits than its factorization.

162000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 162000048 is about 12727.9239469758. The cubic root of 162000048 is about 545.1362316902.

The spelling of 162000048 in words is "one hundred sixty-two million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 103 112 124 151 168 186 206 217 248 302 309 336 372 412 434 453 496 604 618 651 721 744 824 868 906 1057 1208 1236 1302 1442 1488 1648 1736 1812 2114 2163 2416 2472 2604 2884 3171 3193 3472 3624 4228 4326 4681 4944 5208 5768 6342 6386 7248 8456 8652 9362 9579 10416 11536 12684 12772 14043 15553 16912 17304 18724 19158 22351 25368 25544 28086 31106 32767 34608 37448 38316 44702 46659 50736 51088 56172 62212 65534 67053 74896 76632 89404 93318 98301 108871 112344 124424 131068 134106 153264 178808 186636 196602 217742 224688 248848 262136 268212 326613 357616 373272 393204 435484 482143 524272 536424 653226 746544 786408 870968 964286 1072848 1306452 1446429 1572816 1741936 1928572 2612904 2892858 3375001 3857144 5225808 5785716 6750002 7714288 10125003 11571432 13500004 20250006 23142864 27000008 40500012 54000016 81000024 162000048